22121210122011 has 80 divisors (see below), whose sum is σ = 44368467187968. Its totient is φ = 10607573246400.

The previous prime is 22121210122007. The next prime is 22121210122133. The reversal of 22121210122011 is 11022101212122.

22121210122011 is a `hidden beast` number, since 221 + 2 + 1 + 210 + 1 + 220 + 11 = 666.

It is not a de Polignac number, because 22121210122011 - 2² = 22121210122007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22121210127011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 136333185 + ... + 136495346.

Almost surely, 2^{22121210122011} is an apocalyptic number.

22121210122011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22121210122011 is an abundant number, since it is smaller than the sum of its proper divisors (22247257065957).

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

22121210122011 is a wasteful number, since it uses less digits than its factorization.

22121210122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272828574 (or 272828565 counting only the distinct ones).

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

Adding to 22121210122011 its reverse (11022101212122), we get a palindrome (33143311334133).

The spelling of 22121210122011 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred ten million, one hundred twenty-two thousand, eleven".