110100001110111 has 32 divisors (see below), whose sum is σ = 163156777118720. Its totient is φ = 73379454878592.

The previous prime is 110100001110107. The next prime is 110100001110157. The reversal of 110100001110111 is 111011100001011.

It is not a de Polignac number, because 110100001110111 - 2² = 110100001110107 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 a junction number, because it is equal to n+sod(n) for n = 110100001110093 and 110100001110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100001110101) 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, 1553579100 + ... + 1553649966.

It is an arithmetic number, because the mean of its divisors is an integer number (5098649284960).

Almost surely, 2^{110100001110111} is an apocalyptic number.

110100001110111 is a deficient number, since it is larger than the sum of its proper divisors (53056776008609).

110100001110111 is an equidigital number, since it uses as much as digits as its factorization.

110100001110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86172 (or 86166 counting only the distinct ones).

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

Adding to 110100001110111 its reverse (111011100001011), we get a palindrome (221111101111122).

The spelling of 110100001110111 in words is "one hundred ten trillion, one hundred billion, one million, one hundred ten thousand, one hundred eleven".