100100010000009 has 4 divisors (see below), whose sum is σ = 133466680000016. Its totient is φ = 66733340000004.

The previous prime is 100100009999981. The next prime is 100100010000061. The reversal of 100100010000009 is 900000010001001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 100100010000009 - 2³² = 100095715032713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100009999949 and 100100010000003.

It is not an unprimeable number, because it can be changed into a prime (100100010020009) 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 3 ways as a sum of consecutive naturals, for example, 16683334999999 + ... + 16683335000004.

It is an arithmetic number, because the mean of its divisors is an integer number (33366670000004).

Almost surely, 2^{100100010000009} is an apocalyptic number.

It is an amenable number.

100100010000009 is a deficient number, since it is larger than the sum of its proper divisors (33366670000007).

100100010000009 is an equidigital number, since it uses as much as digits as its factorization.

100100010000009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33366670000006.

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

The spelling of 100100010000009 in words is "one hundred trillion, one hundred billion, ten million, nine", and thus it is an aban number.