220401342401 has 2 divisors, whose sum is σ = 220401342402. Its totient is φ = 220401342400.

The previous prime is 220401342397. The next prime is 220401342431. The reversal of 220401342401 is 104243104022.

220401342401 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., 196115236801 + 24286105600 = 442849^2 + 155840^2 .

It is a cyclic number.

It is not a de Polignac number, because 220401342401 - 2² = 220401342397 is a prime.

It is not a weakly prime, because it can be changed into another prime (220401342431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110200671200 + 110200671201.

It is an arithmetic number, because the mean of its divisors is an integer number (110200671201).

Almost surely, 2^220401342401 is an apocalyptic number.

It is an amenable number.

220401342401 is a deficient number, since it is larger than the sum of its proper divisors (1).

220401342401 is an equidigital number, since it uses as much as digits as its factorization.

220401342401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 220401342401 its reverse (104243104022), we get a palindrome (324644446423).

The spelling of 220401342401 in words is "two hundred twenty billion, four hundred one million, three hundred forty-two thousand, four hundred one".