220401355304401 has 2 divisors, whose sum is σ = 220401355304402. Its totient is φ = 220401355304400.

The previous prime is 220401355304399. The next prime is 220401355304419. The reversal of 220401355304401 is 104403553104022.

220401355304401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208264151449600 + 12137203854801 = 14431360^2 + 3483849^2 .

It is a cyclic number.

It is not a de Polignac number, because 220401355304401 - 2¹ = 220401355304399 is a prime.

Together with 220401355304399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (220401355308401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110200677652200 + 110200677652201.

It is an arithmetic number, because the mean of its divisors is an integer number (110200677652201).

Almost surely, 2^{220401355304401} is an apocalyptic number.

It is an amenable number.

220401355304401 is a deficient number, since it is larger than the sum of its proper divisors (1).

220401355304401 is an equidigital number, since it uses as much as digits as its factorization.

220401355304401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 220401355304401 in words is "two hundred twenty trillion, four hundred one billion, three hundred fifty-five million, three hundred four thousand, four hundred one".