102112100022217 has 2 divisors, whose sum is σ = 102112100022218. Its totient is φ = 102112100022216.

The previous prime is 102112100022173. The next prime is 102112100022227. The reversal of 102112100022217 is 712220001211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78568439565456 + 23543660456761 = 8863884^2 + 4852181^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112100022217 - 2³¹ = 102109952538569 is a prime.

It is a super-3 number, since 3×102112100022217³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (102112100022227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056050011108 + 51056050011109.

It is an arithmetic number, because the mean of its divisors is an integer number (51056050011109).

Almost surely, 2^{102112100022217} is an apocalyptic number.

It is an amenable number.

102112100022217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112100022217 is an equidigital number, since it uses as much as digits as its factorization.

102112100022217 is an evil number, because the sum of its binary digits is even.

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

Adding to 102112100022217 its reverse (712220001211201), we get a palindrome (814332101233418).

The spelling of 102112100022217 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, twenty-two thousand, two hundred seventeen".