100217009 has 2 divisors, whose sum is σ = 100217010. Its totient is φ = 100217008.

The previous prime is 100216999. The next prime is 100217027. The reversal of 100217009 is 900712001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63043600 + 37173409 = 7940^2 + 6097^2 .

It is a cyclic number.

It is not a de Polignac number, because 100217009 - 2⁴ = 100216993 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100217099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50108504 + 50108505.

It is an arithmetic number, because the mean of its divisors is an integer number (50108505).

Almost surely, 2^100217009 is an apocalyptic number.

It is an amenable number.

100217009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100217009 is an equidigital number, since it uses as much as digits as its factorization.

100217009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 100217009 is about 10010.8445697653. The cubic root of 100217009 is about 464.4943962975.

The spelling of 100217009 in words is "one hundred million, two hundred seventeen thousand, nine".