100110011121 has 48 divisors (see below), whose sum is σ = 151183032000. Its totient is φ = 63754024320.

The previous prime is 100110011051. The next prime is 100110011137. The reversal of 100110011121 is 121110011001.

It is not a de Polignac number, because 100110011121 - 2²⁹ = 99573140209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100110011161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23069970 + ... + 23074308.

It is an arithmetic number, because the mean of its divisors is an integer number (3149646500).

Almost surely, 2^100110011121 is an apocalyptic number.

It is an amenable number.

100110011121 is a deficient number, since it is larger than the sum of its proper divisors (51073020879).

100110011121 is a wasteful number, since it uses less digits than its factorization.

100110011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100110011121 its reverse (121110011001), we get a palindrome (221220022122).

The spelling of 100110011121 in words is "one hundred billion, one hundred ten million, eleven thousand, one hundred twenty-one".