21120122011122 has 192 divisors, whose sum is σ = 47366547228000. Its totient is φ = 6799085568000.

The previous prime is 21120122011111. The next prime is 21120122011159. The reversal of 21120122011122 is 22111022102112.

21120122011122 is a `hidden beast` number, since 211 + 201 + 220 + 1 + 11 + 22 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 6601667335641 + 14518454675481 = 2569371^2 + 3810309^2 .

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 = 21120122011095 and 21120122011104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4250374254 + ... + 4250379222.

Almost surely, 2^{21120122011122} is an apocalyptic number.

21120122011122 is an abundant number, since it is smaller than the sum of its proper divisors (26246425216878).

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

21120122011122 is a wasteful number, since it uses less digits than its factorization.

21120122011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5517 (or 5514 counting only the distinct ones).

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

Adding to 21120122011122 its reverse (22111022102112), we get a palindrome (43231144113234).

The spelling of 21120122011122 in words is "twenty-one trillion, one hundred twenty billion, one hundred twenty-two million, eleven thousand, one hundred twenty-two".