102127505713 has 2 divisors, whose sum is σ = 102127505714. Its totient is φ = 102127505712.

The previous prime is 102127505681. The next prime is 102127505807. The reversal of 102127505713 is 317505721201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101972926224 + 154579489 = 319332^2 + 12433^2 .

It is an emirp because it is prime and its reverse (317505721201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102127505713 - 2⁵ = 102127505681 is a prime.

It is not a weakly prime, because it can be changed into another prime (102127505213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51063752856 + 51063752857.

It is an arithmetic number, because the mean of its divisors is an integer number (51063752857).

Almost surely, 2^102127505713 is an apocalyptic number.

It is an amenable number.

102127505713 is a deficient number, since it is larger than the sum of its proper divisors (1).

102127505713 is an equidigital number, since it uses as much as digits as its factorization.

102127505713 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 34.

The spelling of 102127505713 in words is "one hundred two billion, one hundred twenty-seven million, five hundred five thousand, seven hundred thirteen".