21121102211211 has 48 divisors (see below), whose sum is σ = 32344972957440. Its totient is φ = 13257646721280.

The previous prime is 21121102211203. The next prime is 21121102211299. The reversal of 21121102211211 is 11211220112112.

It is a happy number.

21121102211211 is a `hidden beast` number, since 21 + 1 + 211 + 0 + 221 + 1 + 211 = 666.

It is not a de Polignac number, because 21121102211211 - 2³ = 21121102211203 is a prime.

It is a super-2 number, since 2×21121102211211² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21121102211201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450771661 + ... + 450818513.

It is an arithmetic number, because the mean of its divisors is an integer number (673853603280).

Almost surely, 2^{21121102211211} is an apocalyptic number.

21121102211211 is a deficient number, since it is larger than the sum of its proper divisors (11223870746229).

21121102211211 is a wasteful number, since it uses less digits than its factorization.

21121102211211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90596 (or 90593 counting only the distinct ones).

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

Adding to 21121102211211 its reverse (11211220112112), we get a palindrome (32332322323323).

The spelling of 21121102211211 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred two million, two hundred eleven thousand, two hundred eleven".