22131121565601 has 12 divisors (see below), whose sum is σ = 32283682285140. Its totient is φ = 14608001032800.

The previous prime is 22131121565599. The next prime is 22131121565611. The reversal of 22131121565601 is 10656512113122.

22131121565601 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 11 + 21 + 565 + 60 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16342170077025 + 5788951488576 = 4042545^2 + 2406024^2 .

It is not a de Polignac number, because 22131121565601 - 2¹ = 22131121565599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22131121565611) 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, 12173333286 + ... + 12173335103.

It is an arithmetic number, because the mean of its divisors is an integer number (2690306857095).

Almost surely, 2^{22131121565601} is an apocalyptic number.

It is an amenable number.

22131121565601 is a deficient number, since it is larger than the sum of its proper divisors (10152560719539).

22131121565601 is a wasteful number, since it uses less digits than its factorization.

22131121565601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24346668496 (or 24346668493 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 22131121565601 its reverse (10656512113122), we get a palindrome (32787633678723).

The spelling of 22131121565601 in words is "twenty-two trillion, one hundred thirty-one billion, one hundred twenty-one million, five hundred sixty-five thousand, six hundred one".