Famous people with the patronymic name Ilyich:
Lenin - Vladimir Ilyich
Mechnikov - Ilya Ilyich (A famous biologist from 19th century)
Brezhnev - Leonid Ilyich
Tsaikovsky - Pyotr Ilyich
(There was a joke about Brezhnev: He says on a 1. may party to his friends: "Yes, I understood that you would like me to be a czar - It is a nice idea, but I have a question - should I be called Leonid I or Ilyich II?)
The feminine form is Ilyinychna
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'Not causing trouble, not touching anything, fixing the primus'
Bulgakov, The Master and Margarita