10012221443201 has 2 divisors, whose sum is σ = 10012221443202. Its totient is φ = 10012221443200.

The previous prime is 10012221443167. The next prime is 10012221443227. The reversal of 10012221443201 is 10234412221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8535512833600 + 1476708609601 = 2921560^2 + 1215199^2 .

It is an emirp because it is prime and its reverse (10234412221001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10012221443201 - 2³⁰ = 10011147701377 is a prime.

It is not a weakly prime, because it can be changed into another prime (10012220443201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006110721600 + 5006110721601.

It is an arithmetic number, because the mean of its divisors is an integer number (5006110721601).

Almost surely, 2^{10012221443201} is an apocalyptic number.

It is an amenable number.

10012221443201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012221443201 is an equidigital number, since it uses as much as digits as its factorization.

10012221443201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10012221443201 its reverse (10234412221001), we get a palindrome (20246633664202).

The spelling of 10012221443201 in words is "ten trillion, twelve billion, two hundred twenty-one million, four hundred forty-three thousand, two hundred one".