Henry Ernest Dudeney/Modern Puzzles/62 - Factorizing

by : $62$

 * Factorizing
 * What are the factors (the numbers that will divide it without any remainder) of this number -- $1000000000001$?
 * This is easily done if you happen to know something about numbers of this peculiar form.
 * In fact, it is just as easy for me to give two factors if you insert, say $101$ noughts, instead of $11$, between the two ones.
 * There is a curious, easy, and beautiful rule for these cases.
 * Can you find it?