2020 is a multiple of 10 and 2020^2021 ends with 2021 zeros, and therefore is a multiple of 50.
2019^50 = 1806408412805678530166132731341369433406520546733673889642822689066841933346897944709366420844003046474845124908916649681137129081106826016298764673263133406617589001
which ends in 001. Any power of this ends in 001.
The answer is 001.
In fact the last many many digits are a long string of zeros and a 1 at the end.
blackjack
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flooble's webmaster puzzle
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