10521312002401 has 2 divisors, whose sum is σ = 10521312002402. Its totient is φ = 10521312002400.

The previous prime is 10521312002389. The next prime is 10521312002429. The reversal of 10521312002401 is 10420021312501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10174568857600 + 346743144801 = 3189760^2 + 588849^2 .

It is a cyclic number.

It is not a de Polignac number, because 10521312002401 - 2²⁷ = 10521177784673 is a prime.

It is a super-2 number, since 2×10521312002401² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10521312002431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5260656001200 + 5260656001201.

It is an arithmetic number, because the mean of its divisors is an integer number (5260656001201).

Almost surely, 2^{10521312002401} is an apocalyptic number.

It is an amenable number.

10521312002401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10521312002401 is an equidigital number, since it uses as much as digits as its factorization.

10521312002401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 10521312002401 its reverse (10420021312501), we get a palindrome (20941333314902).

The spelling of 10521312002401 in words is "ten trillion, five hundred twenty-one billion, three hundred twelve million, two thousand, four hundred one".