10032112301201 has 2 divisors, whose sum is σ = 10032112301202. Its totient is φ = 10032112301200.

The previous prime is 10032112301177. The next prime is 10032112301213. The reversal of 10032112301201 is 10210321123001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9454548780625 + 577563520576 = 3074825^2 + 759976^2 .

It is an emirp because it is prime and its reverse (10210321123001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10032112301201 - 2¹⁸ = 10032112039057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10032112301201.

It is not a weakly prime, because it can be changed into another prime (10032112301251) 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, 5016056150600 + 5016056150601.

It is an arithmetic number, because the mean of its divisors is an integer number (5016056150601).

Almost surely, 2^{10032112301201} is an apocalyptic number.

It is an amenable number.

10032112301201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10032112301201 is an equidigital number, since it uses as much as digits as its factorization.

10032112301201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10032112301201 its reverse (10210321123001), we get a palindrome (20242433424202).

The spelling of 10032112301201 in words is "ten trillion, thirty-two billion, one hundred twelve million, three hundred one thousand, two hundred one".