102516345003521 has 2 divisors, whose sum is σ = 102516345003522. Its totient is φ = 102516345003520.

The previous prime is 102516345003503. The next prime is 102516345003623. The reversal of 102516345003521 is 125300543615201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83087326800625 + 19429018202896 = 9115225^2 + 4407836^2 .

It is a cyclic number.

It is not a de Polignac number, because 102516345003521 - 2²² = 102516340809217 is a prime.

It is not a weakly prime, because it can be changed into another prime (102516345063521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51258172501760 + 51258172501761.

It is an arithmetic number, because the mean of its divisors is an integer number (51258172501761).

Almost surely, 2^{102516345003521} is an apocalyptic number.

It is an amenable number.

102516345003521 is a deficient number, since it is larger than the sum of its proper divisors (1).

102516345003521 is an equidigital number, since it uses as much as digits as its factorization.

102516345003521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108000, while the sum is 38.

Adding to 102516345003521 its reverse (125300543615201), we get a palindrome (227816888618722).

The spelling of 102516345003521 in words is "one hundred two trillion, five hundred sixteen billion, three hundred forty-five million, three thousand, five hundred twenty-one".