21121022122011 has 160 divisors (see below), whose sum is σ = 37295459232768. Its totient is φ = 11661391929600.

The previous prime is 21121022122003. The next prime is 21121022122099. The reversal of 21121022122011 is 11022122012112.

21121022122011 is a `hidden beast` number, since 2 + 1 + 1 + 210 + 221 + 220 + 11 = 666.

It is not a de Polignac number, because 21121022122011 - 2³ = 21121022122003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21121022122001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3380983290 + ... + 3380989536.

Almost surely, 2^{21121022122011} is an apocalyptic number.

21121022122011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21121022122011 is a deficient number, since it is larger than the sum of its proper divisors (16174437110757).

21121022122011 is a wasteful number, since it uses less digits than its factorization.

21121022122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7783 (or 7774 counting only the distinct ones).

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

Adding to 21121022122011 its reverse (11022122012112), we get a palindrome (32143144134123).

The spelling of 21121022122011 in words is "twenty-one trillion, one hundred twenty-one billion, twenty-two million, one hundred twenty-two thousand, eleven".