100111110111 has 24 divisors (see below), whose sum is σ = 149998976400. Its totient is φ = 66723694272.

The previous prime is 100111110107. The next prime is 100111110137. The reversal of 100111110111 is 111011111001.

It is not a de Polignac number, because 100111110111 - 2² = 100111110107 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100111110093 and 100111110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111110311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 939165 + ... + 1040313.

It is an arithmetic number, because the mean of its divisors is an integer number (6249957350).

Almost surely, 2^100111110111 is an apocalyptic number.

100111110111 is a deficient number, since it is larger than the sum of its proper divisors (49887866289).

100111110111 is an equidigital number, since it uses as much as digits as its factorization.

100111110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105237 (or 105225 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100111110111 its reverse (111011111001), we get a palindrome (211122221112).

The spelling of 100111110111 in words is "one hundred billion, one hundred eleven million, one hundred ten thousand, one hundred eleven".