9101000009101 has 96 divisors (see below), whose sum is σ = 12923676057600. Its totient is φ = 6188573612160.

The previous prime is 9101000009083. The next prime is 9101000009111. The reversal of 9101000009101 is 1019000001019.

It is not a de Polignac number, because 9101000009101 - 2⁵ = 9101000009069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9101000009111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173065630 + ... + 173118208.

It is an arithmetic number, because the mean of its divisors is an integer number (134621625600).

Almost surely, 2^{9101000009101} is an apocalyptic number.

9101000009101 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

9101000009101 is a deficient number, since it is larger than the sum of its proper divisors (3822676048499).

9101000009101 is a wasteful number, since it uses less digits than its factorization.

9101000009101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53127 (or 53108 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 9101000009101 in words is "nine trillion, one hundred one billion, nine thousand, one hundred one".