110100110000111 has 32 divisors (see below), whose sum is σ = 138683154792960. Its totient is φ = 84908306448000.

The previous prime is 110100110000107. The next prime is 110100110000129. The reversal of 110100110000111 is 111000011001011.

It is not a de Polignac number, because 110100110000111 - 2² = 110100110000107 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100110000171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16245005 + ... + 22002281.

It is an arithmetic number, because the mean of its divisors is an integer number (4333848587280).

Almost surely, 2^{110100110000111} is an apocalyptic number.

110100110000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110100110000111 is a deficient number, since it is larger than the sum of its proper divisors (28583044792849).

110100110000111 is a wasteful number, since it uses less digits than its factorization.

110100110000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5759855.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110100110000111 its reverse (111000011001011), we get a palindrome (221100121001122).

The spelling of 110100110000111 in words is "one hundred ten trillion, one hundred billion, one hundred ten million, one hundred eleven", and thus it is an aban number.