The mobile miner will work forever, or will it end when the amount of coins that were not sold in ICO has been distributed?
The mobile miner does have a shelf life. It is mainly a marketing tool. I believe the estimation is for it to last ~5 years depending on how many miners are on it. At least I read this a long time ago shortly after ICO somewhere. But there is a limited supply to be distributed.
There was a pre-mine of around ~7billion coins.
The algorithm ensures it will last a very long time, 5-10years have been discussed, but the specifics are not in the public domain…Its got plenty of time to enable its goal of mass adoption and making ETN a household name.