9001101100101 has 16 divisors (see below), whose sum is σ = 13092662042688. Its totient is φ = 5455149724800.

The previous prime is 9001101100063. The next prime is 9001101100133. The reversal of 9001101100101 is 1010011011009.

9001101100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9001101100101 - 2⁷ = 9001101099973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9001101100601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1405491 + ... + 4469631.

It is an arithmetic number, because the mean of its divisors is an integer number (818291377668).

Almost surely, 2^{9001101100101} is an apocalyptic number.

It is an amenable number.

9001101100101 is a deficient number, since it is larger than the sum of its proper divisors (4091560942587).

9001101100101 is a wasteful number, since it uses less digits than its factorization.

9001101100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153172.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 9001101100101 in words is "nine trillion, one billion, one hundred one million, one hundred thousand, one hundred one".