112111002112121 has 2 divisors, whose sum is σ = 112111002112122. Its totient is φ = 112111002112120.

The previous prime is 112111002112099. The next prime is 112111002112169. The reversal of 112111002112121 is 121211200111211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111768537220096 + 342464892025 = 10572064^2 + 585205^2 .

It is a cyclic number.

It is not a de Polignac number, because 112111002112121 - 2³⁴ = 112093822242937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112111002112121.

It is not a weakly prime, because it can be changed into another prime (112111002132121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56055501056060 + 56055501056061.

It is an arithmetic number, because the mean of its divisors is an integer number (56055501056061).

Almost surely, 2^{112111002112121} is an apocalyptic number.

It is an amenable number.

112111002112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

112111002112121 is an equidigital number, since it uses as much as digits as its factorization.

112111002112121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 112111002112121 its reverse (121211200111211), we get a palindrome (233322202223332).

The spelling of 112111002112121 in words is "one hundred twelve trillion, one hundred eleven billion, two million, one hundred twelve thousand, one hundred twenty-one".