Its production will drop by the half every 2 years, what happens when it reach numbers close to 0?
I'm not sure, but I think the block reward drops in half every 4 years (not 2). Which I think makes it more than 120 years before the last new bitcoin piece is mined. In order for bitcoin to survive 120+ years, it will have to become in widespread use so that transaction fees will be enough incentive for miners to continue mining. On the other hand, I don't expect to survive another 120+ years, so I guess it doesn't really matter to me.
Technically, Bitcoins will never stop being produced! Hooray!~
Are you sure about that? I thought that once the block reward is less than 0.00000001 BTC, there would be no further new bitcoin mined?