Can't log in to Apple ID after updating to iOS 10
Using an iPhone 6s, updated to iOS 10 yesterday. Immediately after the update, I found that I cannot access the App Store, my music or iTunes. There is no error message or prompt to log in to my Apple ID, it just says "loading" but never actually connects. Someone suggested logging out of the App Store through my settings so I tried that. I successfully logged out, but cannot log back in. I've tried a dozen times to sign back in and one of two things happens: I tap sign in and nothing happens or the prompt shows up, I enter my info and nothing happens. I have restarted/rebooted my phone multiple times, logged in on iTunes through my PC (successfully, but does not affect my phone) and updated to iOS 10.0.2 but nothing has resolved the issue. Help!
iPhone 6s, iOS 10