112200211102122 has 96 divisors (see below), whose sum is σ = 285725760780096. Its totient is φ = 31370913619200.

The previous prime is 112200211102121. The next prime is 112200211102123. The reversal of 112200211102122 is 221201112002211.

112200211102122 is a `hidden beast` number, since 11 + 220 + 0 + 211 + 10 + 212 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (112200211102121) and next prime (112200211102123).

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 = 112200211102095 and 112200211102104.

It is not an unprimeable number, because it can be changed into a prime (112200211102121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3683688 + ... + 15426275.

It is an arithmetic number, because the mean of its divisors is an integer number (2976310008126).

Almost surely, 2^{112200211102122} is an apocalyptic number.

112200211102122 is an abundant number, since it is smaller than the sum of its proper divisors (173525549677974).

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

112200211102122 is a wasteful number, since it uses less digits than its factorization.

112200211102122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19112276 (or 19112273 counting only the distinct ones).

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

Adding to 112200211102122 its reverse (221201112002211), we get a palindrome (333401323104333).

The spelling of 112200211102122 in words is "one hundred twelve trillion, two hundred billion, two hundred eleven million, one hundred two thousand, one hundred twenty-two".