21002112122211 has 96 divisors (see below), whose sum is σ = 33919154680320. Its totient is φ = 12415618828800.

The previous prime is 21002112122191. The next prime is 21002112122231. The reversal of 21002112122211 is 11222121120012.

21002112122211 is a `hidden beast` number, since 21 + 0 + 0 + 211 + 212 + 221 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (21002112122191) and next prime (21002112122231).

It is not a de Polignac number, because 21002112122211 - 2¹⁰ = 21002112121187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21002112122231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 279695970 + ... + 279771048.

It is an arithmetic number, because the mean of its divisors is an integer number (353324527920).

Almost surely, 2^{21002112122211} is an apocalyptic number.

21002112122211 is a deficient number, since it is larger than the sum of its proper divisors (12917042558109).

21002112122211 is a wasteful number, since it uses less digits than its factorization.

21002112122211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75577 (or 75574 counting only the distinct ones).

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

Adding to 21002112122211 its reverse (11222121120012), we get a palindrome (32224233242223).

The spelling of 21002112122211 in words is "twenty-one trillion, two billion, one hundred twelve million, one hundred twenty-two thousand, two hundred eleven".