10165600117 has 2 divisors, whose sum is σ = 10165600118. Its totient is φ = 10165600116.

The previous prime is 10165600111. The next prime is 10165600121. The reversal of 10165600117 is 71100656101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10101456036 + 64144081 = 100506^2 + 8009^2 .

It is an emirp because it is prime and its reverse (71100656101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10165600117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10165600111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5082800058 + 5082800059.

It is an arithmetic number, because the mean of its divisors is an integer number (5082800059).

Almost surely, 2^10165600117 is an apocalyptic number.

It is an amenable number.

10165600117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10165600117 is an equidigital number, since it uses as much as digits as its factorization.

10165600117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 28.

The spelling of 10165600117 in words is "ten billion, one hundred sixty-five million, six hundred thousand, one hundred seventeen".