110112022012122 has 192 divisors, whose sum is σ = 268651706179584. Its totient is φ = 33600623601600.

The previous prime is 110112022012093. The next prime is 110112022012141. The reversal of 110112022012122 is 221210220211011.

110112022012122 is a `hidden beast` number, since 110 + 1 + 120 + 220 + 1 + 212 + 2 = 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 = 110112022012095 and 110112022012104.

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 95 ways as a sum of consecutive naturals, for example, 578993853 + ... + 579183999.

It is an arithmetic number, because the mean of its divisors is an integer number (1399227636352).

Almost surely, 2^{110112022012122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110112022012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134325853089792).

110112022012122 is an abundant number, since it is smaller than the sum of its proper divisors (158539684167462).

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

110112022012122 is a wasteful number, since it uses less digits than its factorization.

110112022012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190935 (or 190923 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110112022012122 its reverse (221210220211011), we get a palindrome (331322242223133).

The spelling of 110112022012122 in words is "one hundred ten trillion, one hundred twelve billion, twenty-two million, twelve thousand, one hundred twenty-two".