102212102122217 has 2 divisors, whose sum is σ = 102212102122218. Its totient is φ = 102212102122216.

The previous prime is 102212102122079. The next prime is 102212102122297. The reversal of 102212102122217 is 712221201212201.

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., 64722491610841 + 37489610511376 = 8045029^2 + 6122876^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212102122217 - 2³⁴ = 102194922253033 is a prime.

It is not a weakly prime, because it can be changed into another prime (102212102122297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106051061108 + 51106051061109.

It is an arithmetic number, because the mean of its divisors is an integer number (51106051061109).

Almost surely, 2^{102212102122217} is an apocalyptic number.

It is an amenable number.

102212102122217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212102122217 is an equidigital number, since it uses as much as digits as its factorization.

102212102122217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 26.

Adding to 102212102122217 its reverse (712221201212201), we get a palindrome (814433303334418).

The spelling of 102212102122217 in words is "one hundred two trillion, two hundred twelve billion, one hundred two million, one hundred twenty-two thousand, two hundred seventeen".