112102001122121 has 2 divisors, whose sum is σ = 112102001122122. Its totient is φ = 112102001122120.

The previous prime is 112102001122103. The next prime is 112102001122157. The reversal of 112102001122121 is 121221100201211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82298208410896 + 29803792711225 = 9071836^2 + 5459285^2 .

It is a cyclic number.

It is not a de Polignac number, because 112102001122121 - 2¹⁸ = 112102000859977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112102001122121.

It is not a weakly prime, because it can be changed into another prime (112102001122171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56051000561060 + 56051000561061.

It is an arithmetic number, because the mean of its divisors is an integer number (56051000561061).

Almost surely, 2^{112102001122121} is an apocalyptic number.

It is an amenable number.

112102001122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

112102001122121 is an equidigital number, since it uses as much as digits as its factorization.

112102001122121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112102001122121 its reverse (121221100201211), we get a palindrome (233323101323332).

The spelling of 112102001122121 in words is "one hundred twelve trillion, one hundred two billion, one million, one hundred twenty-two thousand, one hundred twenty-one".