112112120010001 has 2 divisors, whose sum is σ = 112112120010002. Its totient is φ = 112112120010000.

The previous prime is 112112120009927. The next prime is 112112120010047. The reversal of 112112120010001 is 100010021211211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64976480518401 + 47135639491600 = 8060799^2 + 6865540^2 .

It is a cyclic number.

It is not a de Polignac number, because 112112120010001 - 2⁷ = 112112120009873 is a prime.

It is not a weakly prime, because it can be changed into another prime (112112120010071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56056060005000 + 56056060005001.

It is an arithmetic number, because the mean of its divisors is an integer number (56056060005001).

Almost surely, 2^{112112120010001} is an apocalyptic number.

It is an amenable number.

112112120010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112112120010001 is an equidigital number, since it uses as much as digits as its factorization.

112112120010001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112112120010001 its reverse (100010021211211), we get a palindrome (212122141221212).

The spelling of 112112120010001 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twenty million, ten thousand, one".