I have heard people use "the aughts" to refer to this time range [1]. I guess if I was trying to be specific about which century one could say "the two thousand aughts" or "the eighteen hundred aughts". But I think in that context i'd be more likely to say "in the first decade of the 1800s"
I call them the two thousand zeroes (2000s). Or, when people ask me from which year my car is, I say two thousand zero -- emphasizing the smallest digit.
Why not twenty hundred for 2000, just like 1900 is nineteen hundred?
Similarly, I never understood why people still say things like "two thousand ten" instead of twenty-ten for year 2010. No one ever went around saying "one thousand nine hundred ten" for 1910, did they?
I have heard people use "the aughts" to refer to this time range [1]. I guess if I was trying to be specific about which century one could say "the two thousand aughts" or "the eighteen hundred aughts". But I think in that context i'd be more likely to say "in the first decade of the 1800s"
1: https://en.wikipedia.org/wiki/Aughts