112000027121 has 2 divisors, whose sum is σ = 112000027122. Its totient is φ = 112000027120.

The previous prime is 112000027103. The next prime is 112000027169. The reversal of 112000027121 is 121720000211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111999992896 + 34225 = 334664^2 + 185^2 .

It is a cyclic number.

It is not a de Polignac number, because 112000027121 - 2¹⁴ = 112000010737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112000027121.

It is not a weakly prime, because it can be changed into another prime (112000027721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56000013560 + 56000013561.

It is an arithmetic number, because the mean of its divisors is an integer number (56000013561).

Almost surely, 2^112000027121 is an apocalyptic number.

It is an amenable number.

112000027121 is a deficient number, since it is larger than the sum of its proper divisors (1).

112000027121 is an equidigital number, since it uses as much as digits as its factorization.

112000027121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 112000027121 its reverse (121720000211), we get a palindrome (233720027332).

The spelling of 112000027121 in words is "one hundred twelve billion, twenty-seven thousand, one hundred twenty-one".