112100121100189 has 2 divisors, whose sum is σ = 112100121100190. Its totient is φ = 112100121100188.

The previous prime is 112100121100151. The next prime is 112100121100241. The reversal of 112100121100189 is 981001121001211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109021622760964 + 3078498339225 = 10441342^2 + 1754565^2 .

It is a cyclic number.

It is not a de Polignac number, because 112100121100189 - 2³³ = 112091531165597 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112100121100139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050060550094 + 56050060550095.

It is an arithmetic number, because the mean of its divisors is an integer number (56050060550095).

Almost surely, 2^{112100121100189} is an apocalyptic number.

It is an amenable number.

112100121100189 is a deficient number, since it is larger than the sum of its proper divisors (1).

112100121100189 is an equidigital number, since it uses as much as digits as its factorization.

112100121100189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 28.

The spelling of 112100121100189 in words is "one hundred twelve trillion, one hundred billion, one hundred twenty-one million, one hundred thousand, one hundred eighty-nine".