102211205617 has 2 divisors, whose sum is σ = 102211205618. Its totient is φ = 102211205616.

The previous prime is 102211205611. The next prime is 102211205623. The reversal of 102211205617 is 716502112201.

It is a balanced prime because it is at equal distance from previous prime (102211205611) and next prime (102211205623).

It can be written as a sum of positive squares in only one way, i.e., 60732180721 + 41479024896 = 246439^2 + 203664^2 .

It is an emirp because it is prime and its reverse (716502112201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102211205617 - 2³ = 102211205609 is a prime.

It is not a weakly prime, because it can be changed into another prime (102211205611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105602808 + 51105602809.

It is an arithmetic number, because the mean of its divisors is an integer number (51105602809).

Almost surely, 2^102211205617 is an apocalyptic number.

It is an amenable number.

102211205617 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211205617 is an equidigital number, since it uses as much as digits as its factorization.

102211205617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 28.

Adding to 102211205617 its reverse (716502112201), we get a palindrome (818713317818).

The spelling of 102211205617 in words is "one hundred two billion, two hundred eleven million, two hundred five thousand, six hundred seventeen".