10004115360401 has 2 divisors, whose sum is σ = 10004115360402. Its totient is φ = 10004115360400.

The previous prime is 10004115360389. The next prime is 10004115360419. The reversal of 10004115360401 is 10406351140001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7540785110401 + 2463330250000 = 2746049^2 + 1569500^2 .

It is a cyclic number.

It is not a de Polignac number, because 10004115360401 - 2¹⁴ = 10004115344017 is a prime.

It is a super-2 number, since 2×10004115360401² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10004115363401) 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, 5002057680200 + 5002057680201.

It is an arithmetic number, because the mean of its divisors is an integer number (5002057680201).

Almost surely, 2^{10004115360401} is an apocalyptic number.

It is an amenable number.

10004115360401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004115360401 is an equidigital number, since it uses as much as digits as its factorization.

10004115360401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 26.

The spelling of 10004115360401 in words is "ten trillion, four billion, one hundred fifteen million, three hundred sixty thousand, four hundred one".