100013111001 has 12 divisors (see below), whose sum is σ = 145111203328. Its totient is φ = 66376413144.

The previous prime is 100013110963. The next prime is 100013111021. The reversal of 100013111001 is 100111310001.

It is not a de Polignac number, because 100013111001 - 2²⁹ = 99476240089 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100013111021) 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 11 ways as a sum of consecutive naturals, for example, 24914065 + ... + 24918078.

Almost surely, 2^100013111001 is an apocalyptic number.

It is an amenable number.

100013111001 is a deficient number, since it is larger than the sum of its proper divisors (45098092327).

100013111001 is a wasteful number, since it uses less digits than its factorization.

100013111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49832372 (or 49832369 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 100013111001 its reverse (100111310001), we get a palindrome (200124421002).

The spelling of 100013111001 in words is "one hundred billion, thirteen million, one hundred eleven thousand, one".