More than rumors. Apparently he had 1 of his many mistresses sign a "confidentiality agreement."[1] This is the kind of stuff Dave Chappelle used to joke about lol, in his "Love Contract" piece[2]. Can't believe someone actually did it - i.e. have the other person sign a confidentiality agreement before a consensual (sometime paid) sexual encounter.
[1] Source: Google CEO and serial womanizer Eric Schmidt spends $15 million on private, no doorman Manhattan penthouse and then has it totally soundproofed => http://www.dailymail.co.uk/news/article-2377785/Google-CEO-s...
[2] “THE CHAPPELLE SHOW” DRAMATIZES SEXUAL CONSENT WITH THE LOVE CONTRACT => https://vimeo.com/183089808