111112122100122 has 256 divisors, whose sum is σ = 291254745600000. Its totient is φ = 30954927686400.

The previous prime is 111112122100087. The next prime is 111112122100123. The reversal of 111112122100122 is 221001221211111.

It is a happy number.

111112122100122 is a `hidden beast` number, since 11 + 111 + 212 + 210 + 0 + 122 = 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 = 111112122100095 and 111112122100104.

It is not an unprimeable number, because it can be changed into a prime (111112122100123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3023523004 + ... + 3023559752.

It is an arithmetic number, because the mean of its divisors is an integer number (1137713850000).

Almost surely, 2^{111112122100122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111112122100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145627372800000).

111112122100122 is an abundant number, since it is smaller than the sum of its proper divisors (180142623499878).

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

111112122100122 is a wasteful number, since it uses less digits than its factorization.

111112122100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38354 (or 38348 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 111112122100122 its reverse (221001221211111), we get a palindrome (332113343311233).

The spelling of 111112122100122 in words is "one hundred eleven trillion, one hundred twelve billion, one hundred twenty-two million, one hundred thousand, one hundred twenty-two".