Let $$S = \left\{ {\left( {\matrix{ { - 1} & a \cr 0 & b \cr } } \right);a,b \in \{ 1,2,3,....100\} } \right\}$ and let ${T_n} = \{ A \in S:{A^{n(n + 1)}} = I\} $. Then the number of elements in $\bigcap\limits_{n = 1}^{100} {{T_n}} $$ is ___________.