10100100091 has 16 divisors (see below), whose sum is σ = 10276082208. Its totient is φ = 9925920000.

The previous prime is 10100100079. The next prime is 10100100133. The reversal of 10100100091 is 19000100101.

It is a cyclic number.

It is not a de Polignac number, because 10100100091 - 2²¹ = 10098002939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100100041) 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, 13778761 + ... + 13779493.

It is an arithmetic number, because the mean of its divisors is an integer number (642255138).

Almost surely, 2^10100100091 is an apocalyptic number.

10100100091 is a deficient number, since it is larger than the sum of its proper divisors (175982117).

10100100091 is a wasteful number, since it uses less digits than its factorization.

10100100091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 10100100091 its reverse (19000100101), we get a palindrome (29100200192).

The spelling of 10100100091 in words is "ten billion, one hundred million, one hundred thousand, ninety-one".