11102122011017 has 2 divisors, whose sum is σ = 11102122011018. Its totient is φ = 11102122011016.

The previous prime is 11102122010933. The next prime is 11102122011059. The reversal of 11102122011017 is 71011022120111.

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., 8182025459776 + 2920096551241 = 2860424^2 + 1708829^2 .

It is a cyclic number.

It is not a de Polignac number, because 11102122011017 - 2¹⁴ = 11102121994633 is a prime.

It is a super-2 number, since 2×11102122011017² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11102122011017.

It is not a weakly prime, because it can be changed into another prime (11102122011517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5551061005508 + 5551061005509.

It is an arithmetic number, because the mean of its divisors is an integer number (5551061005509).

Almost surely, 2^{11102122011017} is an apocalyptic number.

It is an amenable number.

11102122011017 is a deficient number, since it is larger than the sum of its proper divisors (1).

11102122011017 is an equidigital number, since it uses as much as digits as its factorization.

11102122011017 is an odious number, because the sum of its binary digits is odd.

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

Adding to 11102122011017 its reverse (71011022120111), we get a palindrome (82113144131128).

The spelling of 11102122011017 in words is "eleven trillion, one hundred two billion, one hundred twenty-two million, eleven thousand, seventeen".