101005000109 has 8 divisors (see below), whose sum is σ = 109207984032. Its totient is φ = 92863926000.

The previous prime is 101005000087. The next prime is 101005000111. The reversal of 101005000109 is 901000500101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101005000109 - 2²⁸ = 100736564653 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101005000139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15474059 + ... + 15480584.

It is an arithmetic number, because the mean of its divisors is an integer number (13650998004).

Almost surely, 2^101005000109 is an apocalyptic number.

It is an amenable number.

101005000109 is a deficient number, since it is larger than the sum of its proper divisors (8202983923).

101005000109 is a wasteful number, since it uses less digits than its factorization.

101005000109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30954907.

The product of its (nonzero) digits is 45, while the sum is 17.

The spelling of 101005000109 in words is "one hundred one billion, five million, one hundred nine", and thus it is an aban number.