102130311213017 has 2 divisors, whose sum is σ = 102130311213018. Its totient is φ = 102130311213016.

The previous prime is 102130311212933. The next prime is 102130311213197. The reversal of 102130311213017 is 710312113031201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99666758088976 + 2463553124041 = 9983324^2 + 1569571^2 .

It is an emirp because it is prime and its reverse (710312113031201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102130311213017 - 2¹⁴ = 102130311196633 is a prime.

It is not a weakly prime, because it can be changed into another prime (102130311213617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51065155606508 + 51065155606509.

It is an arithmetic number, because the mean of its divisors is an integer number (51065155606509).

Almost surely, 2^{102130311213017} is an apocalyptic number.

It is an amenable number.

102130311213017 is a deficient number, since it is larger than the sum of its proper divisors (1).

102130311213017 is an equidigital number, since it uses as much as digits as its factorization.

102130311213017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 26.

Adding to 102130311213017 its reverse (710312113031201), we get a palindrome (812442424244218).

The spelling of 102130311213017 in words is "one hundred two trillion, one hundred thirty billion, three hundred eleven million, two hundred thirteen thousand, seventeen".