102102334014017 has 2 divisors, whose sum is σ = 102102334014018. Its totient is φ = 102102334014016.

The previous prime is 102102334013993. The next prime is 102102334014029. The reversal of 102102334014017 is 710410433201201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54021853201936 + 48080480812081 = 7349956^2 + 6934009^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102334014017 - 2⁴⁰ = 101002822386241 is a prime.

It is a super-2 number, since 2×102102334014017² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102102336014017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051167007008 + 51051167007009.

It is an arithmetic number, because the mean of its divisors is an integer number (51051167007009).

Almost surely, 2^{102102334014017} is an apocalyptic number.

It is an amenable number.

102102334014017 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102334014017 is an equidigital number, since it uses as much as digits as its factorization.

102102334014017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

Adding to 102102334014017 its reverse (710410433201201), we get a palindrome (812512767215218).

The spelling of 102102334014017 in words is "one hundred two trillion, one hundred two billion, three hundred thirty-four million, fourteen thousand, seventeen".