11121200110177 has 2 divisors, whose sum is σ = 11121200110178. Its totient is φ = 11121200110176.

The previous prime is 11121200110169. The next prime is 11121200110213. The reversal of 11121200110177 is 77101100212111.

11121200110177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6673314892176 + 4447885218001 = 2583276^2 + 2109001^2 .

It is a cyclic number.

It is not a de Polignac number, because 11121200110177 - 2³ = 11121200110169 is a prime.

It is not a weakly prime, because it can be changed into another prime (11121200116177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5560600055088 + 5560600055089.

It is an arithmetic number, because the mean of its divisors is an integer number (5560600055089).

Almost surely, 2^{11121200110177} is an apocalyptic number.

It is an amenable number.

11121200110177 is a deficient number, since it is larger than the sum of its proper divisors (1).

11121200110177 is an equidigital number, since it uses as much as digits as its factorization.

11121200110177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 196, while the sum is 25.

Adding to 11121200110177 its reverse (77101100212111), we get a palindrome (88222300322288).

The spelling of 11121200110177 in words is "eleven trillion, one hundred twenty-one billion, two hundred million, one hundred ten thousand, one hundred seventy-seven".