102712601083993 has 2 divisors, whose sum is σ = 102712601083994. Its totient is φ = 102712601083992.

The previous prime is 102712601083943. The next prime is 102712601084101. The reversal of 102712601083993 is 399380106217201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58251270591504 + 44461330492489 = 7632252^2 + 6667933^2 .

It is a cyclic number.

It is not a de Polignac number, because 102712601083993 - 2²⁹ = 102712064213081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102712601083993.

It is not a weakly prime, because it can be changed into another prime (102712601083913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51356300541996 + 51356300541997.

It is an arithmetic number, because the mean of its divisors is an integer number (51356300541997).

Almost surely, 2^{102712601083993} is an apocalyptic number.

It is an amenable number.

102712601083993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102712601083993 is an equidigital number, since it uses as much as digits as its factorization.

102712601083993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 102712601083993 in words is "one hundred two trillion, seven hundred twelve billion, six hundred one million, eighty-three thousand, nine hundred ninety-three".