Follow up: If you do use vaseline, scour your hands with baking soda and water until water runs smoothly and does not bead, then soak your hands in Maalox or any white liquid antacid (pepto-bismol is no good, it's pink!) for half an hour to forty-five minutes. Wash and soak again if necessary. Cheaper alternatives to liquid antacid are vegetable oil or milk, but they aren't as good.
Man that was a painful day and a half.
Also, if it burns abnormally much, treat it right away. That shit if fat soluble, not water soluble, so if you let it sit it soaks into you and then you're fucked. Soak it in milk, vegetable, or if you feel like pissing away expensive antacid, use that.