According to Geni, King David is my 101 Great grandfather.
Here is the (lengthy) path:
Shar Senor Carlyle
You → Mark Simon Reinsberg
your father → Adolph Reinsberg
his father → Simon Phillip Reinsberg
his father → Julie Reinsberg
his mother → Johanna Kirschbaum
her mother → Roesel Stern
her mother → Philipp Stern
her father → Jacob Süskind Stern
his father → Süsskind (Schneur) zum Stern
his father → Joseph Jacob Bingen
his father → Sprinz Bingen
his mother → Jacob Grotwol
her father → Seligmann Worms-Grotwol, zum Hasen
his father → Gutlin Worms
his mother → Beer SeGal, zum Buchsbaum
her father → Guetlin (Gutlin) Buchsbaum
his mother → Simmel HaLevi aus Eppstein
her father → Jakob Natan HaLevi aus Eppstein
his father → Natan (aus Eppstein) HaLevi
his father → ? HaLevi, Jr.
his father → ? HaLevi
his father → ? HaLevi, Sr.
his father → Aaron haLevi haRoeh of Barcelona -
his father → Yosef Halevi Benveniste, Rabbi
his father → Shem Tob Benveniste HaLevi of Tortosa
his father → YOSEF ben ZERCHIA / YOSEF HAGADOL - POSSIBLY DUPLICATION of GENERATION BELOW
his father → Zerachiah Gracian-Hen haLevi of Girona (Ba'al haMaor)
his father → Unknown Wife of Yitzchak Ha'Levi Hayizhari bat Perfet Sheshet Nasi
his mother → Reina bat Barzilai
her mother → Bonadona bat Mar Shealtiel Ibn Lakhtush
her mother → Mar Solomon Shealtiel "Felez Ferruz" bar Mar Shealtiel, Nasi, Vizier
her father → Yitzhak ben Chyzkia
his father → Hizkiya Gaon Nasi al-Yerushalayim (Qaraite in later life)
his father → David ben Zakkai, Exilarch
his father → Hizkiya "Zuṭṭa" ben Yehudah, Exilarch #30,33 & 35, Final Gaon of Pumbeditha
his father → Yehuda "Zakai" ben David, 29th Exilarch 'Judah II'
his father → David Avraham ben Hazub, Exilarch 'Rab David II', haSofer b'Pumbeditha
his father → R' David Nathan ben Chazub, Exilarch, Rosh Golah of Judah
his father → Mar Rab Judah 'Hazub' bar Pinchas, Exilarch, Gaon, haSofer of Pumbeditha
his father → Rab David I 'Pinchas' ben Abdimi, Exilarch & Gaon of Ramla
his father → Rab Dimi 'Abba Dimi' ben Nechemiah II, 9th Exilarch & Gaon of Ramla
his father → Nechemya ben Magis ben Magis, 8th Exilarch & Gaon of Tiberias "Nechemya II
his father → Haninai "Magis/Majus" ben Mar Sutra II ben Mar Sutra II, 7th Exilarch & Gaon of Tiberias
his father → Rav Yakob 'Zakai' ben Mar Sutra II, 5th Exilarch & Gaon of Tiberias
his father → Mar Sutra II bar Guriya, 4th Exilarch & Gaon of Tiberias
his father → Mar Sutra I "Guriya" ben Mar Zutra III, 3rd Exilarch & Gaon of Tiberias
his father → Mar Sutra II (Sa'adya) ben Mar Tsutra I, 2nd Exilarch & Gaon of Tiberias
his father → Mar Zutra III a/k/a Mar Sutra I ben Mar Zutra II, 1st Exilarch of Tiberias
his father → Mar Zutra II, 30th Exilarch
his father → Rav David ben Rabeina II, Grandson of Exilarch Mar Huna IV
his father → Havah bat Mar Huna IV
his mother → Huna ben Nathan, Mar Huna IV, 24th Exilarch
her father → Nathan bar Abba Mari, 21st Exilarch Nathan II
his father → Tsaina bat Musa
his mother → Musa "Rav Papa" bar Yosef, resh metivta al-Nehardea, 5th Gen Amora
her father → P'nina bat Huna
his mother → Anani bar Nathan, 8th Exilarch Huna II
her father → Nathan ben Nachum, 7th Exilarch 'Mar Ukba I'
his father → Nachum ben Achaya, 2nd Exilarch Nachum II
his father → Achaya bar Akkub, 1st Exilarch 2nd Dynasty
his father → Ya'akov ben Shlomo, Exilarch
his father → Shlomo ben Hunya, Exilarch Interregnum
his father → Hunya ben Nathan, Exilarch Interregnum
his father → Nathan ben Shalom, Exilarch Interregnum
his father → Shalom II ben Hizkiya, Exilarch Interregnum
his father → Hizkiya ben Shehanya, 33rd Exilarch Hizkiya III
his father → Shechanya II ibn Da'ud, Exilarch
his father → Da'ud ben Shemaya ben Shemaya, Exilarch
his father → Shemaya I ben Shlomo
his father → Shlomo III ibn Da'ud Exilarch
his father → Da'ud ibn Akkub
his father → Uknown bat Hizkiya ibn Nearya
his mother → Hizkiyahu II ibn Nearya 21st Exilarch
her father → Neriyah, 18th Exilarch, Dayan, Menton, Yahya, Weinstok Line
his father → Shemayahu ben Shechanya 13th Exilarch
his father → Shechanya ben Ovadya 12th Exilarch
his father → Obadya ibn Arnan, 11th Exilarch
his father → Arnan ben Rafaya Exilarch
his father → Rafaya ben Yishaya, 10th Exilarch
his father → Yishaya ben Hananya, 8th Exilarch
his father → Hasadya ., 7th Exilarch
his father → Berakhiya ., 6th Exilarch
his father → Hananya, 5th Exilarch
his father → Meshullam the Scribe / משולם הסופר, 4th Exilarch
his father → Zerubbabel 3rd Exilarch / זרובבל
his father → Shealtiel, 2nd Exilarch / שאלתיאל
his father → Tamar .
his mother → Zedekiah / Mattanyahu, Last King of Judah
her father → Josiah King of Judah
his father → Amon King of Judah
his father → Menasseh King of Judah
his father → Hephzi-bah .
his mother → Isaiah the Prophet
her father → Amoz .
his father → Jehoash King of Judah
his father → Ahaziah King of Judah
his father → Jehoram King of Judah
his father → Jehosaphat King of Judah
his father → Asa King of Judah
his father → Ana de Naftali de Naftali
his mother → Basemath .
her mother → King Solomon
her father → David King of Israel
his father