Divisible Sandwiches

Define \(A\) as follows: \[A=1\underbrace{0\cdots 0}_{n \text{ zeroes}}1,\] where \(n\) is a positive integer. Does there exist another number \(B\) similarly formed that is a multiple of \(A\): \[B=1\underbrace{0\cdots 0}_{m \text{ zeroes}}1\] such that \(B>A?\)

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