100000009101 has 16 divisors (see below), whose sum is σ = 136461765440. Its totient is φ = 65103091200.

The previous prime is 100000009091. The next prime is 100000009103. The reversal of 100000009101 is 101900000001.

It is not a de Polignac number, because 100000009101 - 2⁵ = 100000009069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000009103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582045 + ... + 734013.

It is an arithmetic number, because the mean of its divisors is an integer number (8528860340).

Almost surely, 2^100000009101 is an apocalyptic number.

It is an amenable number.

100000009101 is a deficient number, since it is larger than the sum of its proper divisors (36461756339).

100000009101 is a wasteful number, since it uses less digits than its factorization.

100000009101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157116.

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

Adding to 100000009101 its reverse (101900000001), we get a palindrome (201900009102).

The spelling of 100000009101 in words is "one hundred billion, nine thousand, one hundred one".