201210112120122 has 72 divisors (see below), whose sum is σ = 512152714386612. Its totient is φ = 56919409344000.

The previous prime is 201210112120051. The next prime is 201210112120189. The reversal of 201210112120122 is 221021211012102.

201210112120122 is a `hidden beast` number, since 201 + 210 + 1 + 12 + 120 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 198851709987441 + 2358402132681 = 14101479^2 + 1535709^2 .

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 = 201210112120095 and 201210112120104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1129264279 + ... + 1129442442.

Almost surely, 2^{201210112120122} is an apocalyptic number.

201210112120122 is an abundant number, since it is smaller than the sum of its proper divisors (310942602266490).

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

201210112120122 is a wasteful number, since it uses less digits than its factorization.

201210112120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258706844 (or 2258706834 counting only the distinct ones).

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

Adding to 201210112120122 its reverse (221021211012102), we get a palindrome (422231323132224).

The spelling of 201210112120122 in words is "two hundred one trillion, two hundred ten billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty-two".