112010112102121 has 2 divisors, whose sum is σ = 112010112102122. Its totient is φ = 112010112102120.

The previous prime is 112010112102079. The next prime is 112010112102179. The reversal of 112010112102121 is 121201211010211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91447832362896 + 20562279739225 = 9562836^2 + 4534565^2 .

It is an emirp because it is prime and its reverse (121201211010211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112010112102121 - 2¹⁵ = 112010112069353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112010112102095 and 112010112102104.

It is not a weakly prime, because it can be changed into another prime (112010112102191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56005056051060 + 56005056051061.

It is an arithmetic number, because the mean of its divisors is an integer number (56005056051061).

Almost surely, 2^{112010112102121} is an apocalyptic number.

It is an amenable number.

112010112102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

112010112102121 is an equidigital number, since it uses as much as digits as its factorization.

112010112102121 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 16.

Adding to 112010112102121 its reverse (121201211010211), we get a palindrome (233211323112332).

The spelling of 112010112102121 in words is "one hundred twelve trillion, ten billion, one hundred twelve million, one hundred two thousand, one hundred twenty-one".