204220102224321 has 72 divisors (see below), whose sum is σ = 316626051755520. Its totient is φ = 126786149985600.

The previous prime is 204220102224277. The next prime is 204220102224349. The reversal of 204220102224321 is 123422201022402.

204220102224321 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 2 + 0 + 1 + 0 + 222 + 432 + 1 = 666.

204220102224321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 204220102224321 - 2²⁵ = 204220068669889 is a prime.

It is a super-2 number, since 2×204220102224321² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204220102224371) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3717052711 + ... + 3717107651.

It is an arithmetic number, because the mean of its divisors is an integer number (4397584052160).

Almost surely, 2^{204220102224321} is an apocalyptic number.

It is an amenable number.

204220102224321 is a deficient number, since it is larger than the sum of its proper divisors (112405949531199).

204220102224321 is a wasteful number, since it uses less digits than its factorization.

204220102224321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74435 (or 74413 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 204220102224321 its reverse (123422201022402), we get a palindrome (327642303246723).

The spelling of 204220102224321 in words is "two hundred four trillion, two hundred twenty billion, one hundred two million, two hundred twenty-four thousand, three hundred twenty-one".