110100000000111 has 32 divisors (see below), whose sum is σ = 160344207072000. Its totient is φ = 66644464346880.

The previous prime is 110100000000079. The next prime is 110100000000127. The reversal of 110100000000111 is 111000000001011.

It is not a de Polignac number, because 110100000000111 - 2⁵ = 110100000000079 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110100000000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100000000191) 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 31 ways as a sum of consecutive naturals, for example, 1490843115 + ... + 1490916963.

It is an arithmetic number, because the mean of its divisors is an integer number (5010756471000).

Almost surely, 2^{110100000000111} is an apocalyptic number.

110100000000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110100000000111 is a deficient number, since it is larger than the sum of its proper divisors (50244207071889).

110100000000111 is a wasteful number, since it uses less digits than its factorization.

110100000000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129319.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110100000000111 its reverse (111000000001011), we get a palindrome (221100000001122).

The spelling of 110100000000111 in words is "one hundred ten trillion, one hundred billion, one hundred eleven", and thus it is an aban number.