204220404022401 has 72 divisors (see below), whose sum is σ = 328616798282136. Its totient is φ = 122082645934080.

The previous prime is 204220404022391. The next prime is 204220404022469. The reversal of 204220404022401 is 104220404022402.

It can be written as a sum of positive squares in 12 ways, for example, as 188924475200400 + 15295928822001 = 13744980^2 + 3911001^2 .

It is not a de Polignac number, because 204220404022401 - 2¹⁰ = 204220404021377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (204220404002401) 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, 7502625 + ... + 21557601.

It is an arithmetic number, because the mean of its divisors is an integer number (4564122198363).

Almost surely, 2^{204220404022401} is an apocalyptic number.

It is an amenable number.

204220404022401 is a deficient number, since it is larger than the sum of its proper divisors (124396394259735).

204220404022401 is a wasteful number, since it uses less digits than its factorization.

204220404022401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14055283 (or 14055267 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 204220404022401 its reverse (104220404022402), we get a palindrome (308440808044803).

Subtracting from 204220404022401 its reverse (104220404022402), we obtain a palindrome (99999999999999).

The spelling of 204220404022401 in words is "two hundred four trillion, two hundred twenty billion, four hundred four million, twenty-two thousand, four hundred one".