1111011111121 has 2 divisors, whose sum is σ = 1111011111122. Its totient is φ = 1111011111120.

The previous prime is 1111011111109. The next prime is 1111011111151. The reversal of 1111011111121 is 1211111101111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1008345338896 + 102665772225 = 1004164^2 + 320415^2 .

It is a cyclic number.

It is not a de Polignac number, because 1111011111121 - 2²¹ = 1111009013969 is a prime.

It is not a weakly prime, because it can be changed into another prime (1111011111151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 555505555560 + 555505555561.

It is an arithmetic number, because the mean of its divisors is an integer number (555505555561).

Almost surely, 2^{1111011111121} is an apocalyptic number.

It is an amenable number.

1111011111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1111011111121 is an equidigital number, since it uses as much as digits as its factorization.

1111011111121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1111011111121 its reverse (1211111101111), we get a palindrome (2322122212232).

The spelling of 1111011111121 in words is "one trillion, one hundred eleven billion, eleven million, one hundred eleven thousand, one hundred twenty-one".