111011110101121 has 2 divisors, whose sum is σ = 111011110101122. Its totient is φ = 111011110101120.

The previous prime is 111011110101043. The next prime is 111011110101187. The reversal of 111011110101121 is 121101011110111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80374165546896 + 30636944554225 = 8965164^2 + 5535065^2 .

It is a cyclic number.

It is not a de Polignac number, because 111011110101121 - 2³⁷ = 110873671147649 is a prime.

It is not a weakly prime, because it can be changed into another prime (111011110171121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505555050560 + 55505555050561.

It is an arithmetic number, because the mean of its divisors is an integer number (55505555050561).

Almost surely, 2^{111011110101121} is an apocalyptic number.

It is an amenable number.

111011110101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011110101121 is an equidigital number, since it uses as much as digits as its factorization.

111011110101121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 111011110101121 its reverse (121101011110111), we get a palindrome (232112121211232).

The spelling of 111011110101121 in words is "one hundred eleven trillion, eleven billion, one hundred ten million, one hundred one thousand, one hundred twenty-one".