102011112120017 has 2 divisors, whose sum is σ = 102011112120018. Its totient is φ = 102011112120016.

The previous prime is 102011112119971. The next prime is 102011112120019. The reversal of 102011112120017 is 710021211110201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70004948674816 + 32006163445201 = 8366896^2 + 5657399^2 .

It is a cyclic number.

It is not a de Polignac number, because 102011112120017 - 2²⁶ = 102011045011153 is a prime.

Together with 102011112120019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102011112120019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005556060008 + 51005556060009.

It is an arithmetic number, because the mean of its divisors is an integer number (51005556060009).

Almost surely, 2^{102011112120017} is an apocalyptic number.

It is an amenable number.

102011112120017 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011112120017 is an equidigital number, since it uses as much as digits as its factorization.

102011112120017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 102011112120017 its reverse (710021211110201), we get a palindrome (812032323230218).

The spelling of 102011112120017 in words is "one hundred two trillion, eleven billion, one hundred twelve million, one hundred twenty thousand, seventeen".