331212103222221 has 72 divisors (see below), whose sum is σ = 527877394500456. Its totient is φ = 199956973731840.

The previous prime is 331212103222213. The next prime is 331212103222237. The reversal of 331212103222221 is 122222301212133.

331212103222221 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 1 + 210 + 3 + 222 + 221 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 54185572377225 + 277026530844996 = 7361085^2 + 16644114^2 .

It is not a de Polignac number, because 331212103222221 - 2³ = 331212103222213 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331212103222291) 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 71 ways as a sum of consecutive naturals, for example, 820196641 + ... + 820600361.

It is an arithmetic number, because the mean of its divisors is an integer number (7331630479173).

Almost surely, 2^{331212103222221} is an apocalyptic number.

It is an amenable number.

331212103222221 is a deficient number, since it is larger than the sum of its proper divisors (196665291278235).

331212103222221 is a wasteful number, since it uses less digits than its factorization.

331212103222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413983 (or 413967 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 331212103222221 its reverse (122222301212133), we get a palindrome (453434404434354).

The spelling of 331212103222221 in words is "three hundred thirty-one trillion, two hundred twelve billion, one hundred three million, two hundred twenty-two thousand, two hundred twenty-one".