Ta có
\(1+2+3+4+...+x=20100\)
\(\left(x+1\right)\times x\div2=20100\)
\(\left(x+1\right)\times x=20100\times2\)
\(\left(x+1\right)\times x=40200\)
Mà \(40200=201\times200\)
\(\Rightarrow\left(x+1\right)\times x=201\times200\)
\(\Rightarrow x=200\)
Vậy x = 200