112120101222001 has 2 divisors, whose sum is σ = 112120101222002. Its totient is φ = 112120101222000.

The previous prime is 112120101221987. The next prime is 112120101222029. The reversal of 112120101222001 is 100222101021211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111558463391376 + 561637830625 = 10562124^2 + 749425^2 .

It is a cyclic number.

It is not a de Polignac number, because 112120101222001 - 2¹⁹ = 112120100697713 is a prime.

It is not a weakly prime, because it can be changed into another prime (112120101222601) 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, 56060050611000 + 56060050611001.

It is an arithmetic number, because the mean of its divisors is an integer number (56060050611001).

Almost surely, 2^{112120101222001} is an apocalyptic number.

It is an amenable number.

112120101222001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112120101222001 is an equidigital number, since it uses as much as digits as its factorization.

112120101222001 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 16.

Adding to 112120101222001 its reverse (100222101021211), we get a palindrome (212342202243212).

The spelling of 112120101222001 in words is "one hundred twelve trillion, one hundred twenty billion, one hundred one million, two hundred twenty-two thousand, one".