101090009 has 2 divisors, whose sum is σ = 101090010. Its totient is φ = 101090008.

The previous prime is 101089987. The next prime is 101090021. The reversal of 101090009 is 900090101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88416409 + 12673600 = 9403^2 + 3560^2 .

It is a cyclic number.

It is not a de Polignac number, because 101090009 - 2²⁴ = 84312793 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101090609) 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, 50545004 + 50545005.

It is an arithmetic number, because the mean of its divisors is an integer number (50545005).

Almost surely, 2^101090009 is an apocalyptic number.

It is an amenable number.

101090009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101090009 is an equidigital number, since it uses as much as digits as its factorization.

101090009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 101090009 is about 10054.3527389882. The cubic root of 101090009 is about 465.8392505531.

It can be divided in two parts, 1010 and 90009, that added together give a palindrome (91019).

The spelling of 101090009 in words is "one hundred one million, ninety thousand, nine".