20012100200009 has 2 divisors, whose sum is σ = 20012100200010. Its totient is φ = 20012100200008.

The previous prime is 20012100199939. The next prime is 20012100200021. The reversal of 20012100200009 is 90000200121002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12510170928784 + 7501929271225 = 3536972^2 + 2738965^2 .

It is a cyclic number.

It is not a de Polignac number, because 20012100200009 - 2²⁸ = 20011831764553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20012100200009.

It is not a weakly prime, because it can be changed into another prime (20012100200069) 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, 10006050100004 + 10006050100005.

It is an arithmetic number, because the mean of its divisors is an integer number (10006050100005).

Almost surely, 2^{20012100200009} is an apocalyptic number.

It is an amenable number.

20012100200009 is a deficient number, since it is larger than the sum of its proper divisors (1).

20012100200009 is an equidigital number, since it uses as much as digits as its factorization.

20012100200009 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 20012100200009 in words is "twenty trillion, twelve billion, one hundred million, two hundred thousand, nine".