110111011100111 has 16 divisors (see below), whose sum is σ = 128416519656000. Its totient is φ = 94375591367904.

The previous prime is 110111011100107. The next prime is 110111011100117. The reversal of 110111011100111 is 111001110111011.

It is not a de Polignac number, because 110111011100111 - 2² = 110111011100107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110111011100092 and 110111011100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111011100117) 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, 2819840 + ... + 15105413.

It is an arithmetic number, because the mean of its divisors is an integer number (8026032478500).

Almost surely, 2^{110111011100111} is an apocalyptic number.

110111011100111 is a deficient number, since it is larger than the sum of its proper divisors (18305508555889).

110111011100111 is an equidigital number, since it uses as much as digits as its factorization.

110111011100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17943183 (or 17943169 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 110111011100111 its reverse (111001110111011), we get a palindrome (221112121211122).

The spelling of 110111011100111 in words is "one hundred ten trillion, one hundred eleven billion, eleven million, one hundred thousand, one hundred eleven".