201211120021122 has 64 divisors (see below), whose sum is σ = 448452051523200. Its totient is φ = 66873102128640.

The previous prime is 201211120021111. The next prime is 201211120021133. The reversal of 201211120021122 is 221120021112102.

201211120021122 is a `hidden beast` number, since 20 + 1 + 211 + 1 + 200 + 211 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (201211120021111) and next prime (201211120021133).

It is a super-2 number, since 2×201211120021122² (a number of 29 digits) contains 22 as substring.

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 = 201211120021095 and 201211120021104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42149818 + ... + 46680074.

It is an arithmetic number, because the mean of its divisors is an integer number (7007063305050).

Almost surely, 2^{201211120021122} is an apocalyptic number.

201211120021122 is an abundant number, since it is smaller than the sum of its proper divisors (247240931502078).

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

201211120021122 is a wasteful number, since it uses less digits than its factorization.

201211120021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4532688 (or 4532682 counting only the distinct ones).

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

Adding to 201211120021122 its reverse (221120021112102), we get a palindrome (422331141133224).

The spelling of 201211120021122 in words is "two hundred one trillion, two hundred eleven billion, one hundred twenty million, twenty-one thousand, one hundred twenty-two".