For future reference, I have gathered all the possible solutions for this error. I will mark it as a solution for visibility.
June 2013 - last edited July 2013
That has nothing to do with Simcity updating and everything to do with corrupted files in Windows Framework. You need a Game Adviser, but when it happened to me, I ended up with a different PC, a different Windows, and a different browser before Origin would let me log in normally (my system's date and time were always the correct ones for here in Central Time Zone).
So I tried every single thing I could think of. Then I came across this thread that said origin will check your computers connection before actually checking its connection to its servers. So I thought him ill just run a windows connectivity test and it said I was having issues connecting to a port. So I exhausted a couple more ideas until I found one that worked. Go into internet explorer and follow these steps.
Under tools>internet options>advanced>reset .
Did this Then boom origin worked. Hope it works for you