2100200200009 has 2 divisors, whose sum is σ = 2100200200010. Its totient is φ = 2100200200008.

The previous prime is 2100200200001. The next prime is 2100200200013. The reversal of 2100200200009 is 9000020020012.

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., 1782216990009 + 317983210000 = 1334997^2 + 563900^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100200200009 - 2³ = 2100200200001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100200199965 and 2100200200001.

It is not a weakly prime, because it can be changed into another prime (2100200200001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050100100004 + 1050100100005.

It is an arithmetic number, because the mean of its divisors is an integer number (1050100100005).

Almost surely, 2^{2100200200009} is an apocalyptic number.

It is an amenable number.

2100200200009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100200200009 is an equidigital number, since it uses as much as digits as its factorization.

2100200200009 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 16.

The spelling of 2100200200009 in words is "two trillion, one hundred billion, two hundred million, two hundred thousand, nine".