42522100212321 has 12 divisors (see below), whose sum is σ = 61421188110100. Its totient is φ = 28347892950240.

The previous prime is 42522100212311. The next prime is 42522100212349. The reversal of 42522100212321 is 12321200122524.

42522100212321 is a `hidden beast` number, since 4 + 2 + 5 + 22 + 100 + 212 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14383700982225 + 28138399230096 = 3792585^2 + 5304564^2 .

It is not a de Polignac number, because 42522100212321 - 2²⁶ = 42522033103457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42522100212311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12930346 + ... + 15882003.

Almost surely, 2^{42522100212321} is an apocalyptic number.

It is an amenable number.

42522100212321 is a deficient number, since it is larger than the sum of its proper divisors (18899087897779).

42522100212321 is a wasteful number, since it uses less digits than its factorization.

42522100212321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28976336 (or 28976333 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 42522100212321 its reverse (12321200122524), we get a palindrome (54843300334845).

The spelling of 42522100212321 in words is "forty-two trillion, five hundred twenty-two billion, one hundred million, two hundred twelve thousand, three hundred twenty-one".