Green’s Dictionary of Slang

eleventy-eleven n.

also lebenty zillions, leventy-leven

(US black) a very large or infinite number.

[US]H.A. Shands Speech in Mississippi n.p.: Lebenty-lebem [...] Negro pronunciation for eleventy-eleven, an expression for an indefinitely great number [DARE].
Labor Age 14-15 12/2: They’re trying to make out that the young girl who married a millionaire is a Black Beauty, even though her family lived eleventy- eleven years in Wales.
[US]Berrey & Van den Bark Amer. Thes. Sl.
[US]in DARE.
J.D. Barrett Quiet Crazy 22: Just like eleventy-eleven other times with Mama.
[US]T. Wolff In Pharoah’s Army 91: [T]he Chinook was a couple of feet over my head, just hanging there, all lebenty zillion tons of it.
M.D. Hunt Perfect Turkeys 143: I’m sure she’s counted all eleventy-eleven of them.