20002112222201 has 2 divisors, whose sum is σ = 20002112222202. Its totient is φ = 20002112222200.

The previous prime is 20002112222167. The next prime is 20002112222219. The reversal of 20002112222201 is 10222221120002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15605059704976 + 4397052517225 = 3950324^2 + 2096915^2 .

It is a cyclic number.

It is not a de Polignac number, because 20002112222201 - 2³⁰ = 20001038480377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20002112222201.

It is not a weakly prime, because it can be changed into another prime (20002112222291) 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, 10001056111100 + 10001056111101.

It is an arithmetic number, because the mean of its divisors is an integer number (10001056111101).

Almost surely, 2^{20002112222201} is an apocalyptic number.

It is an amenable number.

20002112222201 is a deficient number, since it is larger than the sum of its proper divisors (1).

20002112222201 is an equidigital number, since it uses as much as digits as its factorization.

20002112222201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20002112222201 its reverse (10222221120002), we get a palindrome (30224333342203).

The spelling of 20002112222201 in words is "twenty trillion, two billion, one hundred twelve million, two hundred twenty-two thousand, two hundred one".