I just happen to have a broken one on my desk here, and it is exactly 110 mm long. It is broken right at the beginning of the curve at the head; so the whole thing was probably 1 or 2 mm longer.
Best bet, though, is to measure your spokes. If keeping the same size, have the LBS make several replacements; with your weight, you'll be going through them like popcorn.
Almost a year ago, having broken about ten of them, I replaced all the drive side spokes with longer ones. I kept the old ones as spares for the non-drive side in case they, too, should start popping on me (just one, so far). On the drive side I put some spokes I already had, and they turned out to be four cross or something slightly crazy; I put all heads are on the inside, and each spoke curls around the hub a little ways before heading off at its tangent. It looks odd, but I haven't broken one of those yet!