100010000111 has 16 divisors (see below), whose sum is σ = 121115015424. Its totient is φ = 80617329024.

The previous prime is 100010000107. The next prime is 100010000141. The reversal of 100010000111 is 111000010001.

It is a cyclic number.

It is not a de Polignac number, because 100010000111 - 2² = 100010000107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010000095 and 100010000104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010000141) 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, 174845 + ... + 480198.

It is an arithmetic number, because the mean of its divisors is an integer number (7569688464).

Almost surely, 2^100010000111 is an apocalyptic number.

100010000111 is a deficient number, since it is larger than the sum of its proper divisors (21105015313).

100010000111 is a wasteful number, since it uses less digits than its factorization.

100010000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656350.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100010000111 its reverse (111000010001), we get a palindrome (211010010112).

The spelling of 100010000111 in words is "one hundred billion, ten million, one hundred eleven", and thus it is an aban number.