100110010109 has 8 divisors (see below), whose sum is σ = 101038699320. Its totient is φ = 99182071296.

The previous prime is 100110010087. The next prime is 100110010129. The reversal of 100110010109 is 901010011001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1265794084 + 98844216025 = 35578^2 + 314395^2 .

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 100110010109 - 2²⁸ = 99841574653 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110010093 and 100110010102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110010129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82247 + ... + 454955.

It is an arithmetic number, because the mean of its divisors is an integer number (12629837415).

Almost surely, 2^100110010109 is an apocalyptic number.

It is an amenable number.

100110010109 is a deficient number, since it is larger than the sum of its proper divisors (928689211).

100110010109 is a wasteful number, since it uses less digits than its factorization.

100110010109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375199.

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

The spelling of 100110010109 in words is "one hundred billion, one hundred ten million, ten thousand, one hundred nine".