10004121515117 has 2 divisors, whose sum is σ = 10004121515118. Its totient is φ = 10004121515116.

The previous prime is 10004121515081. The next prime is 10004121515177. The reversal of 10004121515117 is 71151512140001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8982902128201 + 1021219386916 = 2997149^2 + 1010554^2 .

It is a cyclic number.

It is not a de Polignac number, because 10004121515117 - 2²⁴ = 10004104737901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10004121515117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10004121515177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002060757558 + 5002060757559.

It is an arithmetic number, because the mean of its divisors is an integer number (5002060757559).

Almost surely, 2^{10004121515117} is an apocalyptic number.

It is an amenable number.

10004121515117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004121515117 is an equidigital number, since it uses as much as digits as its factorization.

10004121515117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1400, while the sum is 29.

Adding to 10004121515117 its reverse (71151512140001), we get a palindrome (81155633655118).

It can be divided in two parts, 10004 and 121515117, that added together give a palindrome (121525121).

The spelling of 10004121515117 in words is "ten trillion, four billion, one hundred twenty-one million, five hundred fifteen thousand, one hundred seventeen".