22112011112121 has 64 divisors (see below), whose sum is σ = 37592796864000. Its totient is φ = 12583392000768.

The previous prime is 22112011112101. The next prime is 22112011112137. The reversal of 22112011112121 is 12121111021122.

It is a happy number.

22112011112121 is a `hidden beast` number, since 221 + 120 + 1 + 111 + 212 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-22112011112121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22112011112094 and 22112011112103.

It is not an unprimeable number, because it can be changed into a prime (22112011112101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52360611 + ... + 52781223.

It is an arithmetic number, because the mean of its divisors is an integer number (587387451000).

Almost surely, 2^{22112011112121} is an apocalyptic number.

22112011112121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22112011112121 is a deficient number, since it is larger than the sum of its proper divisors (15480785751879).

22112011112121 is a wasteful number, since it uses less digits than its factorization.

22112011112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421775 (or 421769 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 22112011112121 its reverse (12121111021122), we get a palindrome (34233122133243).

Subtracting from 22112011112121 its reverse (12121111021122), we obtain a palindrome (9990900090999).

The spelling of 22112011112121 in words is "twenty-two trillion, one hundred twelve billion, eleven million, one hundred twelve thousand, one hundred twenty-one".