If yes, do you know any specific examples?

It's a very long article, but it mentions near the start that Lang Lang's hands are insured for a 7 figure sum.

http://entertainment.timesonline.co.uk/tol/arts_and_entertainment/music/article6073244.ece

Wow.

I was glad to see in the article that Lang Lang denied having influenced DG about Yundi Li:

"Yundi was recently dropped by Deutsche Grammophon, the record label he shared with Lang Lang, fuelling rumours of “him or me” tantrums. Lang Lang had barred orchestras from performing with Yundi in the same season, the gossips claimed; he had forced DG's hand. “No! This is a very bad thing to do and totally not true,” Lang Lang exclaims, those priceless hands flapping wildly. “This is not allowed in the real world; I have no rights to say anything about other artists. It's his career.”

Heck, my piano tuner's ears are insured for $50,000. I don't see anyone who makes a living with certain body parts NOT insuring them.

I'm surprised it's only 7 figures. I don't know how many concerts he plays/year, but at his rate of 75K/concert he'd make in the high 7 figures in one year of 100 concerts not including all his endorsements and record deals.

It could be $999,999 you know! :P

What about his face?

His face is in the 8 figure club!