210000101010209 has 2 divisors, whose sum is σ = 210000101010210. Its totient is φ = 210000101010208.

The previous prime is 210000101010179. The next prime is 210000101010221. The reversal of 210000101010209 is 902010101000012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107281369259584 + 102718731750625 = 10357672^2 + 10135025^2 .

It is a cyclic number.

It is not a de Polignac number, because 210000101010209 - 2²⁰ = 210000099961633 is a prime.

It is not a weakly prime, because it can be changed into another prime (210000101010229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105000050505104 + 105000050505105.

It is an arithmetic number, because the mean of its divisors is an integer number (105000050505105).

Almost surely, 2^{210000101010209} is an apocalyptic number.

It is an amenable number.

210000101010209 is a deficient number, since it is larger than the sum of its proper divisors (1).

210000101010209 is an equidigital number, since it uses as much as digits as its factorization.

210000101010209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 210000101010209 in words is "two hundred ten trillion, one hundred one million, ten thousand, two hundred nine".