funny riddle, anyone have the answer?

Arnold Schwarzenegger has a big one.
Michael J. Fox has a small one.
Madonna doesn’t have one.
The Pope has one but doesn’t use it.
Clinton uses his all the time.
Bush is one
Mickey Mouse has an unusual one.
Liberace never used his on women.
Jerry Seinfeld is very, very proud of his.
Cher claims that she took on 3.
We never saw Lucy use Desi’s.
What is it?
At first, I did think it was a certain appendage on the male body, but then I saw all the answers for ‘last name’, and that works! haha 🙂