101372209 has 2 divisors, whose sum is σ = 101372210. Its totient is φ = 101372208.

The previous prime is 101372203. The next prime is 101372237. The reversal of 101372209 is 902273101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91259809 + 10112400 = 9553^2 + 3180^2 .

It is a cyclic number.

It is not a de Polignac number, because 101372209 - 2⁵ = 101372177 is a prime.

It is not a weakly prime, because it can be changed into another prime (101372203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50686104 + 50686105.

It is an arithmetic number, because the mean of its divisors is an integer number (50686105).

Almost surely, 2^101372209 is an apocalyptic number.

It is an amenable number.

101372209 is a deficient number, since it is larger than the sum of its proper divisors (1).

101372209 is an equidigital number, since it uses as much as digits as its factorization.

101372209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 101372209 is about 10068.3766814715. The cubic root of 101372209 is about 466.2723223625.

The spelling of 101372209 in words is "one hundred one million, three hundred seventy-two thousand, two hundred nine".