112103217313201 has 2 divisors, whose sum is σ = 112103217313202. Its totient is φ = 112103217313200.

The previous prime is 112103217313193. The next prime is 112103217313237. The reversal of 112103217313201 is 102313712301211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73814645487025 + 38288571826176 = 8591545^2 + 6187776^2 .

It is a cyclic number.

It is not a de Polignac number, because 112103217313201 - 2³ = 112103217313193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112103217313201.

It is not a weakly prime, because it can be changed into another prime (112103217313261) 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, 56051608656600 + 56051608656601.

It is an arithmetic number, because the mean of its divisors is an integer number (56051608656601).

Almost surely, 2^{112103217313201} is an apocalyptic number.

It is an amenable number.

112103217313201 is a deficient number, since it is larger than the sum of its proper divisors (1).

112103217313201 is an equidigital number, since it uses as much as digits as its factorization.

112103217313201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

Adding to 112103217313201 its reverse (102313712301211), we get a palindrome (214416929614412).

The spelling of 112103217313201 in words is "one hundred twelve trillion, one hundred three billion, two hundred seventeen million, three hundred thirteen thousand, two hundred one".