101000109 has 16 divisors (see below), whose sum is σ = 154275840. Its totient is φ = 57575280.

The previous prime is 101000093. The next prime is 101000113. The reversal of 101000109 is 901000101.

It is not a de Polignac number, because 101000109 - 2⁴ = 101000093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000094 and 101000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200109) 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, 3472 + ... + 14630.

It is an arithmetic number, because the mean of its divisors is an integer number (9642240).

Almost surely, 2^101000109 is an apocalyptic number.

It is an amenable number.

101000109 is a deficient number, since it is larger than the sum of its proper divisors (53275731).

101000109 is a wasteful number, since it uses less digits than its factorization.

101000109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11600.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 101000109 is about 10049.8810440721. The cubic root of 101000109 is about 465.7011183097.

The spelling of 101000109 in words is "one hundred one million, one hundred nine", and thus it is an aban number.