111011211121 has 2 divisors, whose sum is σ = 111011211122. Its totient is φ = 111011211120.

The previous prime is 111011211089. The next prime is 111011211151. The reversal of 111011211121 is 121112110111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109703376225 + 1307834896 = 331215^2 + 36164^2 .

It is a cyclic number.

It is not a de Polignac number, because 111011211121 - 2⁵ = 111011211089 is a prime.

It is not a weakly prime, because it can be changed into another prime (111011211151) 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, 55505605560 + 55505605561.

It is an arithmetic number, because the mean of its divisors is an integer number (55505605561).

Almost surely, 2^111011211121 is an apocalyptic number.

It is an amenable number.

111011211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011211121 is an equidigital number, since it uses as much as digits as its factorization.

111011211121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 111011211121 its reverse (121112110111), we get a palindrome (232123321232).

The spelling of 111011211121 in words is "one hundred eleven billion, eleven million, two hundred eleven thousand, one hundred twenty-one".