1000100000109 has 32 divisors (see below), whose sum is σ = 1630468341760. Its totient is φ = 532531972800.

The previous prime is 1000100000101. The next prime is 1000100000143. The reversal of 1000100000109 is 9010000010001.

It is not a de Polignac number, because 1000100000109 - 2³ = 1000100000101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000100000094 and 1000100000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000100000101) 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, 20520877 + ... + 20569554.

It is an arithmetic number, because the mean of its divisors is an integer number (50952135680).

Almost surely, 2^{1000100000109} is an apocalyptic number.

1000100000109 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1000100000109 is a deficient number, since it is larger than the sum of its proper divisors (630368341651).

1000100000109 is a wasteful number, since it uses less digits than its factorization.

1000100000109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41090521.

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

The spelling of 1000100000109 in words is "one trillion, one hundred million, one hundred nine", and thus it is an aban number.