What direction are the threads on Ultra Torque bearing cups? I need to remove the bottom bracket bearing cups from my 2010 Athena groupset. Do they both unscrew anti-clockwise, or is one side different (and which one)?

For English-threaded Ultra Torque, the right (chain) side cup unscrews clockwise, the left one anti-clockwise. For Italian, both unscrew anti-clockwise.

It's most likely that you have English. I don't know how you could tell for certain though without asking your bike maker, measuring the size, or seeing which way they actually unscrew.

For the reason why the English is 'correct' see the link in the comment below.