10401253432201 has 2 divisors, whose sum is σ = 10401253432202. Its totient is φ = 10401253432200.

The previous prime is 10401253432181. The next prime is 10401253432259. The reversal of 10401253432201 is 10223435210401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5424334160400 + 4976919271801 = 2329020^2 + 2230901^2 .

It is a cyclic number.

It is not a de Polignac number, because 10401253432201 - 2⁹ = 10401253431689 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10401253432201.

It is not a weakly prime, because it can be changed into another prime (10401253432901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200626716100 + 5200626716101.

It is an arithmetic number, because the mean of its divisors is an integer number (5200626716101).

Almost surely, 2^{10401253432201} is an apocalyptic number.

It is an amenable number.

10401253432201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10401253432201 is an equidigital number, since it uses as much as digits as its factorization.

10401253432201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 10401253432201 its reverse (10223435210401), we get a palindrome (20624688642602).

The spelling of 10401253432201 in words is "ten trillion, four hundred one billion, two hundred fifty-three million, four hundred thirty-two thousand, two hundred one".