20220100009001 has 2 divisors, whose sum is σ = 20220100009002. Its totient is φ = 20220100009000.

The previous prime is 20220100008973. The next prime is 20220100009027. The reversal of 20220100009001 is 10090000102202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19859500960000 + 360599049001 = 4456400^2 + 600499^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20220100009001 is a prime.

It is not a weakly prime, because it can be changed into another prime (20220108009001) 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, 10110050004500 + 10110050004501.

It is an arithmetic number, because the mean of its divisors is an integer number (10110050004501).

Almost surely, 2^{20220100009001} is an apocalyptic number.

It is an amenable number.

20220100009001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20220100009001 is an equidigital number, since it uses as much as digits as its factorization.

20220100009001 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.

The spelling of 20220100009001 in words is "twenty trillion, two hundred twenty billion, one hundred million, nine thousand, one".