A long time ago I've heard a Prince song that supposedly inspired Trent Reznor to create Nine Inch Nail's Satellite, but I can't remember its name.
NIN songs are well-documented on the NinWiki, and Satellite's entry has no mention of it being inspired by a specific Prince song.
You've probably misremembered a review, e.g. this one from The Quietus:
Even more of a core point about those moments of vocals and rhythm in perfect sync: it's Prince. No matter how torn up and explosive, he's also wanted to be Prince at his most futuristic and spare, if maybe with a little extra echo and bass - check the credits for Pretty Hate Machine for an early shout-out - and he's been able to pull it off a lot more than some to transform it into his own thing. It's why 'Closer' worked so well, then and now (not to mention the still underrated 'Into The Void' from The Fragile) while on this album, it's why 'Satellite' rumbles and clicks like the Neptunes at THEIR most stripped down and Prince-obsessed.