102102334013993 has 2 divisors, whose sum is σ = 102102334013994. Its totient is φ = 102102334013992.

The previous prime is 102102334013989. The next prime is 102102334014017. The reversal of 102102334013993 is 399310433201201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74282110351849 + 27820223662144 = 8618707^2 + 5274488^2 .

It is an emirp because it is prime and its reverse (399310433201201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102102334013993 - 2² = 102102334013989 is a prime.

It is a super-2 number, since 2×102102334013993² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102102334013993.

It is not a weakly prime, because it can be changed into another prime (102102334013923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051167006996 + 51051167006997.

It is an arithmetic number, because the mean of its divisors is an integer number (51051167006997).

Almost surely, 2^{102102334013993} is an apocalyptic number.

It is an amenable number.

102102334013993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102334013993 is an equidigital number, since it uses as much as digits as its factorization.

102102334013993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 104976, while the sum is 41.

The spelling of 102102334013993 in words is "one hundred two trillion, one hundred two billion, three hundred thirty-four million, thirteen thousand, nine hundred ninety-three".