21122010121121 has 48 divisors (see below), whose sum is σ = 26195288169600. Its totient is φ = 16676056051200.

The previous prime is 21122010121111. The next prime is 21122010121171. The reversal of 21122010121121 is 12112101022112.

It is not a de Polignac number, because 21122010121121 - 2¹⁸ = 21122009858977 is a prime.

It is a super-2 number, since 2×21122010121121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21122010121121.

It is not an unprimeable number, because it can be changed into a prime (21122010121111) 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, 2797984055 + ... + 2797991603.

It is an arithmetic number, because the mean of its divisors is an integer number (545735170200).

Almost surely, 2^{21122010121121} is an apocalyptic number.

It is an amenable number.

21122010121121 is a deficient number, since it is larger than the sum of its proper divisors (5073278048479).

21122010121121 is a wasteful number, since it uses less digits than its factorization.

21122010121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12346 (or 12333 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 21122010121121 its reverse (12112101022112), we get a palindrome (33234111143233).

Subtracting from 21122010121121 its reverse (12112101022112), we obtain a palindrome (9009909099009).

The spelling of 21122010121121 in words is "twenty-one trillion, one hundred twenty-two billion, ten million, one hundred twenty-one thousand, one hundred twenty-one".