The acerbic judge's firm, Syco Entertainment, is co-producing a musical spoof written by Harry Hill and directed by Sean Foley about the popular televised singing contest.
Syco and Stage Entertainment say that "X Factor - It's Time to Face the Musical!" will be an "affectionate poke" at the talent show.
The firms said Friday that the show will include 19 new songs, and that casting and the theater have yet to be confirmed.
The X Factor launched in Britain in 2004 and in the U.S. in fall 2011.
