100100110101109 has 32 divisors (see below), whose sum is σ = 104720000536800. Its totient is φ = 95565599539200.

The previous prime is 100100110101091. The next prime is 100100110101133. The reversal of 100100110101109 is 901101011001001.

It can be written as a sum of positive squares in 16 ways, for example, as 5391205678609 + 94708904422500 = 2321897^2 + 9731850^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100110101109 - 2⁵ = 100100110101077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100110101092 and 100100110101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100114101109) 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 31 ways as a sum of consecutive naturals, for example, 759989959 + ... + 760121659.

It is an arithmetic number, because the mean of its divisors is an integer number (3272500016775).

Almost surely, 2^{100100110101109} is an apocalyptic number.

It is an amenable number.

100100110101109 is a deficient number, since it is larger than the sum of its proper divisors (4619890435691).

100100110101109 is a wasteful number, since it uses less digits than its factorization.

100100110101109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132745.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 100100110101109 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred one thousand, one hundred nine".