11010109983617 has 2 divisors, whose sum is σ = 11010109983618. Its totient is φ = 11010109983616.

The previous prime is 11010109983583. The next prime is 11010109983643. The reversal of 11010109983617 is 71638990101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9475586123536 + 1534523860081 = 3078244^2 + 1238759^2 .

It is an emirp because it is prime and its reverse (71638990101011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11010109983617 - 2³⁶ = 10941390506881 is a prime.

It is not a weakly prime, because it can be changed into another prime (11010109983017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505054991808 + 5505054991809.

It is an arithmetic number, because the mean of its divisors is an integer number (5505054991809).

Almost surely, 2^{11010109983617} is an apocalyptic number.

It is an amenable number.

11010109983617 is a deficient number, since it is larger than the sum of its proper divisors (1).

11010109983617 is an equidigital number, since it uses as much as digits as its factorization.

11010109983617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 47.

The spelling of 11010109983617 in words is "eleven trillion, ten billion, one hundred nine million, nine hundred eighty-three thousand, six hundred seventeen".