101. Write the number 100 using six identical non-zero digits in such a way that the method of writing does not depend on the digits used.

102 Calculate:

$\lg \operatorname{tg} 37^{\circ} \cdot \lg \operatorname{tg} 38^{\circ} \cdot \lg \operatorname{tg} 39^{\circ} \ldots \lg \operatorname{tg} 47^{\circ}$
101. Let $x$ be any non-zero digit. Then the expression $(\overline{x x x}-\overline{x x}): x=100$ is true for any digit $x$. 102. Since $\operatorname{tg} 45^{\circ}=1$, then $\lg \operatorname{tg} 45^{\circ}=0$. Therefore, the given product is also zero.