If you are having problems with iCloud accounts (or someone, like a family member, has called you to help them figure out why they can’t log in to iCloud) before spending a bunch of time retyping your password over and over, you may want to look at Apple’s system status page.
This could save you a bunch of time and determine that the issue is not you, but Apple’s servers.
If you are dealing with development, there is a separate page to determine the system status.