100200209 has 2 divisors, whose sum is σ = 100200210. Its totient is φ = 100200208.

The previous prime is 100200179. The next prime is 100200223. The reversal of 100200209 is 902002001.

It is an a-pointer prime, because the next prime (100200223) can be obtained adding 100200209 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68840209 + 31360000 = 8297^2 + 5600^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200209 - 2¹⁶ = 100134673 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100200193 and 100200202.

It is not a weakly prime, because it can be changed into another prime (100200299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100104 + 50100105.

It is an arithmetic number, because the mean of its divisors is an integer number (50100105).

Almost surely, 2^100200209 is an apocalyptic number.

It is an amenable number.

100200209 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200209 is an equidigital number, since it uses as much as digits as its factorization.

100200209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 100200209 is about 10010.0054445540. The cubic root of 100200209 is about 464.4684394863.

The spelling of 100200209 in words is "one hundred million, two hundred thousand, two hundred nine".