10112132233201 has 2 divisors, whose sum is σ = 10112132233202. Its totient is φ = 10112132233200.

The previous prime is 10112132233199. The next prime is 10112132233237. The reversal of 10112132233201 is 10233223121101.

10112132233201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6479829893601 + 3632302339600 = 2545551^2 + 1905860^2 .

It is an emirp because it is prime and its reverse (10233223121101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10112132233201 - 2¹ = 10112132233199 is a prime.

Together with 10112132233199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10112132233001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056066116600 + 5056066116601.

It is an arithmetic number, because the mean of its divisors is an integer number (5056066116601).

Almost surely, 2^{10112132233201} is an apocalyptic number.

It is an amenable number.

10112132233201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112132233201 is an equidigital number, since it uses as much as digits as its factorization.

10112132233201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10112132233201 its reverse (10233223121101), we get a palindrome (20345355354302).

The spelling of 10112132233201 in words is "ten trillion, one hundred twelve billion, one hundred thirty-two million, two hundred thirty-three thousand, two hundred one".