102212210011217 has 2 divisors, whose sum is σ = 102212210011218. Its totient is φ = 102212210011216.

The previous prime is 102212210011181. The next prime is 102212210011237. The reversal of 102212210011217 is 712110012212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95026545400336 + 7185664610881 = 9748156^2 + 2680609^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212210011217 - 2¹⁴ = 102212209994833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102212210011192 and 102212210011201.

It is not a weakly prime, because it can be changed into another prime (102212210011237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106105005608 + 51106105005609.

It is an arithmetic number, because the mean of its divisors is an integer number (51106105005609).

Almost surely, 2^{102212210011217} is an apocalyptic number.

It is an amenable number.

102212210011217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212210011217 is an equidigital number, since it uses as much as digits as its factorization.

102212210011217 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 23.

Adding to 102212210011217 its reverse (712110012212201), we get a palindrome (814322222223418).

The spelling of 102212210011217 in words is "one hundred two trillion, two hundred twelve billion, two hundred ten million, eleven thousand, two hundred seventeen".