No, the main mining period is 100billion, but it then switches to a constant 10kDOGE/block to subsidise mining fees (which is why Doge is at around $0.0001 fees for each transaction rather than the $0.03 and rising that BTC has). That gives it a steadily decreasing inflation rate, of about 4-5% this year and trending towards 0 in the very long term. This is also mitigated somewhat by lost coins and those burnt to make other cryptoassets (i.e. Dogeparty)
Thanks for the explanation, that makes sense and its inflationary nature has shown to serve some benefit over bitcoin's deflationary nature. The tiny transactional fees are more in the spirit of what cryptocurrency is supposed to be all about and its quickly becoming my coin of choice.