110111001100112 has 20 divisors (see below), whose sum is σ = 213340332199380. Its totient is φ = 55055431500288.

The previous prime is 110111001100109. The next prime is 110111001100123. The reversal of 110111001100112 is 211001100111011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 73466429417536 + 36644571682576 = 8571256^2 + 6053476^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110111001100093 and 110111001100102.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 10350728 + ... + 18093080.

It is an arithmetic number, because the mean of its divisors is an integer number (10667016609969).

Almost surely, 2^{110111001100112} is an apocalyptic number.

It is an amenable number.

110111001100112 is a deficient number, since it is larger than the sum of its proper divisors (103229331099268).

110111001100112 is an equidigital number, since it uses as much as digits as its factorization.

110111001100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8631230 (or 8631224 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 110111001100112 its reverse (211001100111011), we get a palindrome (321112101211123).

The spelling of 110111001100112 in words is "one hundred ten trillion, one hundred eleven billion, one million, one hundred thousand, one hundred twelve".