9901110100101 has 32 divisors (see below), whose sum is σ = 14999169447936. Its totient is φ = 5756260104000.

The previous prime is 9901110100093. The next prime is 9901110100129. The reversal of 9901110100101 is 1010010111099.

It is not a de Polignac number, because 9901110100101 - 2³ = 9901110100093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9901110100181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57019065 + ... + 57192446.

It is an arithmetic number, because the mean of its divisors is an integer number (468724045248).

Almost surely, 2^{9901110100101} is an apocalyptic number.

It is an amenable number.

9901110100101 is a deficient number, since it is larger than the sum of its proper divisors (5098059347835).

9901110100101 is a wasteful number, since it uses less digits than its factorization.

9901110100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114211633.

The product of its (nonzero) digits is 81, while the sum is 24.

The spelling of 9901110100101 in words is "nine trillion, nine hundred one billion, one hundred ten million, one hundred thousand, one hundred one".