102022102112017 has 2 divisors, whose sum is σ = 102022102112018. Its totient is φ = 102022102112016.

The previous prime is 102022102111981. The next prime is 102022102112071. The reversal of 102022102112017 is 710211201220201.

Together with next prime (102022102112071) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97967553396736 + 4054548715281 = 9897856^2 + 2013591^2 .

It is a cyclic number.

It is not a de Polignac number, because 102022102112017 - 2³⁹ = 101472346298129 is a prime.

It is a super-2 number, since 2×102022102112017² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102022102112317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51011051056008 + 51011051056009.

It is an arithmetic number, because the mean of its divisors is an integer number (51011051056009).

Almost surely, 2^{102022102112017} is an apocalyptic number.

It is an amenable number.

102022102112017 is a deficient number, since it is larger than the sum of its proper divisors (1).

102022102112017 is an equidigital number, since it uses as much as digits as its factorization.

102022102112017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 102022102112017 its reverse (710211201220201), we get a palindrome (812233303332218).

The spelling of 102022102112017 in words is "one hundred two trillion, twenty-two billion, one hundred two million, one hundred twelve thousand, seventeen".