10401555415117 has 2 divisors, whose sum is σ = 10401555415118. Its totient is φ = 10401555415116.

The previous prime is 10401555415093. The next prime is 10401555415127. The reversal of 10401555415117 is 71151455510401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10155573141961 + 245982273156 = 3186781^2 + 495966^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10401555415117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10401555415117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10401555415127) 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, 5200777707558 + 5200777707559.

It is an arithmetic number, because the mean of its divisors is an integer number (5200777707559).

Almost surely, 2^{10401555415117} is an apocalyptic number.

It is an amenable number.

10401555415117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10401555415117 is an equidigital number, since it uses as much as digits as its factorization.

10401555415117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70000, while the sum is 40.

The spelling of 10401555415117 in words is "ten trillion, four hundred one billion, five hundred fifty-five million, four hundred fifteen thousand, one hundred seventeen".