1011112011121 has 2 divisors, whose sum is σ = 1011112011122. Its totient is φ = 1011112011120.

The previous prime is 1011112011089. The next prime is 1011112011139. The reversal of 1011112011121 is 1211102111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 554049479025 + 457062532096 = 744345^2 + 676064^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011112011121 - 2⁵ = 1011112011089 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011112011181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505556005560 + 505556005561.

It is an arithmetic number, because the mean of its divisors is an integer number (505556005561).

Almost surely, 2^{1011112011121} is an apocalyptic number.

It is an amenable number.

1011112011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011112011121 is an equidigital number, since it uses as much as digits as its factorization.

1011112011121 is an evil number, because the sum of its binary digits is even.

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

Adding to 1011112011121 its reverse (1211102111101), we get a palindrome (2222214122222).

The spelling of 1011112011121 in words is "one trillion, eleven billion, one hundred twelve million, eleven thousand, one hundred twenty-one".