100202120209 has 2 divisors, whose sum is σ = 100202120210. Its totient is φ = 100202120208.

The previous prime is 100202120153. The next prime is 100202120233. The reversal of 100202120209 is 902021202001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66720439809 + 33481680400 = 258303^2 + 182980^2 .

It is a cyclic number.

It is not a de Polignac number, because 100202120209 - 2⁹ = 100202119697 is a prime.

It is not a weakly prime, because it can be changed into another prime (100202120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50101060104 + 50101060105.

It is an arithmetic number, because the mean of its divisors is an integer number (50101060105).

Almost surely, 2^100202120209 is an apocalyptic number.

It is an amenable number.

100202120209 is a deficient number, since it is larger than the sum of its proper divisors (1).

100202120209 is an equidigital number, since it uses as much as digits as its factorization.

100202120209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 100202120209 in words is "one hundred billion, two hundred two million, one hundred twenty thousand, two hundred nine".