11011111104757 has 2 divisors, whose sum is σ = 11011111104758. Its totient is φ = 11011111104756.

The previous prime is 11011111104751. The next prime is 11011111104781. The reversal of 11011111104757 is 75740111111011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9731149231441 + 1279961873316 = 3119479^2 + 1131354^2 .

It is an emirp because it is prime and its reverse (75740111111011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11011111104757 - 2³⁵ = 10976751366389 is a prime.

It is a super-2 number, since 2×11011111104757² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11011111104751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505555552378 + 5505555552379.

It is an arithmetic number, because the mean of its divisors is an integer number (5505555552379).

Almost surely, 2^{11011111104757} is an apocalyptic number.

It is an amenable number.

11011111104757 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011111104757 is an equidigital number, since it uses as much as digits as its factorization.

11011111104757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 980, while the sum is 31.

Adding to 11011111104757 its reverse (75740111111011), we get a palindrome (86751222215768).

The spelling of 11011111104757 in words is "eleven trillion, eleven billion, one hundred eleven million, one hundred four thousand, seven hundred fifty-seven".