11000120111177 has 2 divisors, whose sum is σ = 11000120111178. Its totient is φ = 11000120111176.

The previous prime is 11000120111173. The next prime is 11000120111219. The reversal of 11000120111177 is 77111102100011.

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., 10332232355641 + 667887755536 = 3214379^2 + 817244^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000120111177 - 2² = 11000120111173 is a prime.

It is not a weakly prime, because it can be changed into another prime (11000120111171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500060055588 + 5500060055589.

It is an arithmetic number, because the mean of its divisors is an integer number (5500060055589).

Almost surely, 2^{11000120111177} is an apocalyptic number.

It is an amenable number.

11000120111177 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000120111177 is an equidigital number, since it uses as much as digits as its factorization.

11000120111177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98, while the sum is 23.

Adding to 11000120111177 its reverse (77111102100011), we get a palindrome (88111222211188).

The spelling of 11000120111177 in words is "eleven trillion, one hundred twenty million, one hundred eleven thousand, one hundred seventy-seven".