11102122110017 has 2 divisors, whose sum is σ = 11102122110018. Its totient is φ = 11102122110016.

The previous prime is 11102122109993. The next prime is 11102122110047. The reversal of 11102122110017 is 71001122120111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5772875987761 + 5329246122256 = 2402681^2 + 2308516^2 .

It is a cyclic number.

It is not a de Polignac number, because 11102122110017 - 2²⁰ = 11102121061441 is a prime.

It is not a weakly prime, because it can be changed into another prime (11102122110047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5551061055008 + 5551061055009.

It is an arithmetic number, because the mean of its divisors is an integer number (5551061055009).

Almost surely, 2^{11102122110017} is an apocalyptic number.

It is an amenable number.

11102122110017 is a deficient number, since it is larger than the sum of its proper divisors (1).

11102122110017 is an equidigital number, since it uses as much as digits as its factorization.

11102122110017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 11102122110017 its reverse (71001122120111), we get a palindrome (82103244230128).

The spelling of 11102122110017 in words is "eleven trillion, one hundred two billion, one hundred twenty-two million, one hundred ten thousand, seventeen".