11100000011017 has 2 divisors, whose sum is σ = 11100000011018. Its totient is φ = 11100000011016.

The previous prime is 11100000011011. The next prime is 11100000011021. The reversal of 11100000011017 is 71011000000111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5662167779961 + 5437832231056 = 2379531^2 + 2331916^2 .

It is an emirp because it is prime and its reverse (71011000000111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11100000011017 - 2¹¹ = 11100000008969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11100000010988 and 11100000011006.

It is not a weakly prime, because it can be changed into another prime (11100000011011) 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, 5550000005508 + 5550000005509.

It is an arithmetic number, because the mean of its divisors is an integer number (5550000005509).

Almost surely, 2^{11100000011017} is an apocalyptic number.

It is an amenable number.

11100000011017 is a deficient number, since it is larger than the sum of its proper divisors (1).

11100000011017 is an equidigital number, since it uses as much as digits as its factorization.

11100000011017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 11100000011017 its reverse (71011000000111), we get a palindrome (82111000011128).

The spelling of 11100000011017 in words is "eleven trillion, one hundred billion, eleven thousand, seventeen".