102151051071617 has 2 divisors, whose sum is σ = 102151051071618. Its totient is φ = 102151051071616.

The previous prime is 102151051071613. The next prime is 102151051071623. The reversal of 102151051071617 is 716170150151201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91728716955121 + 10422334116496 = 9577511^2 + 3228364^2 .

It is an emirp because it is prime and its reverse (716170150151201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102151051071617 - 2² = 102151051071613 is a prime.

It is a super-2 number, since 2×102151051071617² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102151051071613) 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, 51075525535808 + 51075525535809.

It is an arithmetic number, because the mean of its divisors is an integer number (51075525535809).

Almost surely, 2^{102151051071617} is an apocalyptic number.

It is an amenable number.

102151051071617 is a deficient number, since it is larger than the sum of its proper divisors (1).

102151051071617 is an equidigital number, since it uses as much as digits as its factorization.

102151051071617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14700, while the sum is 38.

The spelling of 102151051071617 in words is "one hundred two trillion, one hundred fifty-one billion, fifty-one million, seventy-one thousand, six hundred seventeen".