101810009 has 16 divisors (see below), whose sum is σ = 117889920. Its totient is φ = 86123520.

The previous prime is 101809993. The next prime is 101810017. The reversal of 101810009 is 900018101.

It is not a de Polignac number, because 101810009 - 2⁴ = 101809993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101810069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241619 + ... + 242039.

It is an arithmetic number, because the mean of its divisors is an integer number (7368120).

Almost surely, 2^101810009 is an apocalyptic number.

It is an amenable number.

101810009 is a deficient number, since it is larger than the sum of its proper divisors (16079911).

101810009 is a wasteful number, since it uses less digits than its factorization.

101810009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800.

The product of its (nonzero) digits is 72, while the sum is 20.

The square root of 101810009 is about 10090.0945981690. The cubic root of 101810009 is about 466.9425943588.

The spelling of 101810009 in words is "one hundred one million, eight hundred ten thousand, nine".