1010102112017 has 2 divisors, whose sum is σ = 1010102112018. Its totient is φ = 1010102112016.

The previous prime is 1010102111987. The next prime is 1010102112031. The reversal of 1010102112017 is 7102112010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1005840503056 + 4261608961 = 1002916^2 + 65281^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010102112017 - 2¹⁴ = 1010102095633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010102111986 and 1010102112004.

It is not a weakly prime, because it can be changed into another prime (1010102112517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505051056008 + 505051056009.

It is an arithmetic number, because the mean of its divisors is an integer number (505051056009).

Almost surely, 2^{1010102112017} is an apocalyptic number.

It is an amenable number.

1010102112017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010102112017 is an equidigital number, since it uses as much as digits as its factorization.

1010102112017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 1010102112017 its reverse (7102112010101), we get a palindrome (8112214122118).

The spelling of 1010102112017 in words is "one trillion, ten billion, one hundred two million, one hundred twelve thousand, seventeen".