100202009 has 2 divisors, whose sum is σ = 100202010. Its totient is φ = 100202008.

The previous prime is 100201993. The next prime is 100202017. The reversal of 100202009 is 900202001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94575625 + 5626384 = 9725^2 + 2372^2 .

It is a cyclic number.

It is not a de Polignac number, because 100202009 - 2⁴ = 100201993 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100201984 and 100202002.

It is not a weakly prime, because it can be changed into another prime (100202309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50101004 + 50101005.

It is an arithmetic number, because the mean of its divisors is an integer number (50101005).

Almost surely, 2^100202009 is an apocalyptic number.

It is an amenable number.

100202009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100202009 is an equidigital number, since it uses as much as digits as its factorization.

100202009 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 100202009 is about 10010.0953541912. The cubic root of 100202009 is about 464.4712207120.

The spelling of 100202009 in words is "one hundred million, two hundred two thousand, nine".