110031011131122 has 32 divisors (see below), whose sum is σ = 244838941858560. Its totient is φ = 36628166142000.

The previous prime is 110031011131121. The next prime is 110031011131207. The reversal of 110031011131122 is 221131110130011.

110031011131122 is a `hidden beast` number, since 1 + 10 + 0 + 310 + 1 + 11 + 311 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110031011131095 and 110031011131104.

It is not an unprimeable number, because it can be changed into a prime (110031011131121) 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 15 ways as a sum of consecutive naturals, for example, 1356558193 + ... + 1356639300.

It is an arithmetic number, because the mean of its divisors is an integer number (7651216933080).

Almost surely, 2^{110031011131122} is an apocalyptic number.

110031011131122 is an abundant number, since it is smaller than the sum of its proper divisors (134807930727438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110031011131122 is a wasteful number, since it uses less digits than its factorization.

110031011131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713198255 (or 2713198249 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 110031011131122 its reverse (221131110130011), we get a palindrome (331162121261133).

The spelling of 110031011131122 in words is "one hundred ten trillion, thirty-one billion, eleven million, one hundred thirty-one thousand, one hundred twenty-two".