112120221001001 has 2 divisors, whose sum is σ = 112120221001002. Its totient is φ = 112120221001000.

The previous prime is 112120221000943. The next prime is 112120221001013. The reversal of 112120221001001 is 100100122021211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93570411312400 + 18549809688601 = 9673180^2 + 4306949^2 .

It is a cyclic number.

It is not a de Polignac number, because 112120221001001 - 2³⁸ = 111845343094057 is a prime.

It is not a weakly prime, because it can be changed into another prime (112120221000001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56060110500500 + 56060110500501.

It is an arithmetic number, because the mean of its divisors is an integer number (56060110500501).

Almost surely, 2^{112120221001001} is an apocalyptic number.

It is an amenable number.

112120221001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112120221001001 is an equidigital number, since it uses as much as digits as its factorization.

112120221001001 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 14.

Adding to 112120221001001 its reverse (100100122021211), we get a palindrome (212220343022212).

The spelling of 112120221001001 in words is "one hundred twelve trillion, one hundred twenty billion, two hundred twenty-one million, one thousand, one".