102010998018817 has 2 divisors, whose sum is σ = 102010998018818. Its totient is φ = 102010998018816.

The previous prime is 102010998018799. The next prime is 102010998018829. The reversal of 102010998018817 is 718810899010201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55357781358961 + 46653216659856 = 7440281^2 + 6830316^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102010998018817 is a prime.

It is not a weakly prime, because it can be changed into another prime (102010998018847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005499009408 + 51005499009409.

It is an arithmetic number, because the mean of its divisors is an integer number (51005499009409).

Almost surely, 2^{102010998018817} is an apocalyptic number.

It is an amenable number.

102010998018817 is a deficient number, since it is larger than the sum of its proper divisors (1).

102010998018817 is an equidigital number, since it uses as much as digits as its factorization.

102010998018817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 55.

The spelling of 102010998018817 in words is "one hundred two trillion, ten billion, nine hundred ninety-eight million, eighteen thousand, eight hundred seventeen".