102212102112017 has 2 divisors, whose sum is σ = 102212102112018. Its totient is φ = 102212102112016.

The previous prime is 102212102112011. The next prime is 102212102112041. The reversal of 102212102112017 is 710211201212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85387043541121 + 16825058570896 = 9240511^2 + 4101836^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102212102112017 is a prime.

It is a super-3 number, since 3×102212102112017³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102212102111983 and 102212102112001.

It is not a weakly prime, because it can be changed into another prime (102212102112011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106051056008 + 51106051056009.

It is an arithmetic number, because the mean of its divisors is an integer number (51106051056009).

Almost surely, 2^{102212102112017} is an apocalyptic number.

It is an amenable number.

102212102112017 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212102112017 is an equidigital number, since it uses as much as digits as its factorization.

102212102112017 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 23.

Adding to 102212102112017 its reverse (710211201212201), we get a palindrome (812423303324218).

The spelling of 102212102112017 in words is "one hundred two trillion, two hundred twelve billion, one hundred two million, one hundred twelve thousand, seventeen".