10012202200201 has 2 divisors, whose sum is σ = 10012202200202. Its totient is φ = 10012202200200.

The previous prime is 10012202200171. The next prime is 10012202200249. The reversal of 10012202200201 is 10200220221001.

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., 9680312142400 + 331890057801 = 3111320^2 + 576099^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012202200201 - 2³⁹ = 9462446386313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10012202200261) 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, 5006101100100 + 5006101100101.

It is an arithmetic number, because the mean of its divisors is an integer number (5006101100101).

Almost surely, 2^{10012202200201} is an apocalyptic number.

It is an amenable number.

10012202200201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012202200201 is an equidigital number, since it uses as much as digits as its factorization.

10012202200201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10012202200201 its reverse (10200220221001), we get a palindrome (20212422421202).

The spelling of 10012202200201 in words is "ten trillion, twelve billion, two hundred two million, two hundred thousand, two hundred one".