100101001109 has 4 divisors (see below), whose sum is σ = 100102310604. Its totient is φ = 100099691616.

The previous prime is 100101001103. The next prime is 100101001123. The reversal of 100101001109 is 901100101001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 901100101001 = 113 ⋅7974337177.

It can be written as a sum of positive squares in 2 ways, for example, as 15930226225 + 84170774884 = 126215^2 + 290122^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101001109 - 2²⁴ = 100084223893 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100101001093 and 100101001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101001103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 532472 + ... + 695505.

It is an arithmetic number, because the mean of its divisors is an integer number (25025577651).

Almost surely, 2^100101001109 is an apocalyptic number.

It is an amenable number.

100101001109 is a deficient number, since it is larger than the sum of its proper divisors (1309495).

100101001109 is an equidigital number, since it uses as much as digits as its factorization.

100101001109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309494.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 100101001109 in words is "one hundred billion, one hundred one million, one thousand, one hundred nine".