smc

Since the number isn't prime, it is a product of two primes. If the least integer were a product of more than two primes, then one prime could be removed without making the number prime or introducing any prime factors less than $10$. These prime factors must be greater than $10$, so the least prime factor is $11$. Therefore, the least integer is $11^2=121$, which is in $\boxed{120<n\le 130}$.