11100112111177 has 2 divisors, whose sum is σ = 11100112111178. Its totient is φ = 11100112111176.

The previous prime is 11100112111171. The next prime is 11100112111223. The reversal of 11100112111177 is 77111121100111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10864169735056 + 235942376121 = 3296084^2 + 485739^2 .

It is a cyclic number.

It is not a de Polignac number, because 11100112111177 - 2³ = 11100112111169 is a prime.

It is not a weakly prime, because it can be changed into another prime (11100112111171) 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, 5550056055588 + 5550056055589.

It is an arithmetic number, because the mean of its divisors is an integer number (5550056055589).

Almost surely, 2^{11100112111177} is an apocalyptic number.

It is an amenable number.

11100112111177 is a deficient number, since it is larger than the sum of its proper divisors (1).

11100112111177 is an equidigital number, since it uses as much as digits as its factorization.

11100112111177 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 25.

Adding to 11100112111177 its reverse (77111121100111), we get a palindrome (88211233211288).

The spelling of 11100112111177 in words is "eleven trillion, one hundred billion, one hundred twelve million, one hundred eleven thousand, one hundred seventy-seven".