100101012091 has 16 divisors (see below), whose sum is σ = 105100649280. Its totient is φ = 95155793920.

The previous prime is 100101012079. The next prime is 100101012133. The reversal of 100101012091 is 190210101001.

It is a cyclic number.

It is not a de Polignac number, because 100101012091 - 2²³ = 100092623483 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101012001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14961675 + ... + 14968363.

It is an arithmetic number, because the mean of its divisors is an integer number (6568790580).

Almost surely, 2^100101012091 is an apocalyptic number.

100101012091 is a deficient number, since it is larger than the sum of its proper divisors (4999637189).

100101012091 is a wasteful number, since it uses less digits than its factorization.

100101012091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10646.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 100101012091 its reverse (190210101001), we get a palindrome (290311113092).

It can be divided in two parts, 1001010 and 12091, that added together give a palindrome (1013101).

The spelling of 100101012091 in words is "one hundred billion, one hundred one million, twelve thousand, ninety-one".