100110000001109 has 8 divisors (see below), whose sum is σ = 121141512606528. Its totient is φ = 80761008404160.

The previous prime is 100110000001051. The next prime is 100110000001181. The reversal of 100110000001109 is 901100000011001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100110000001109 - 2⁸ = 100110000000853 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110000001093 and 100110000001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110000001189) 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 7 ways as a sum of consecutive naturals, for example, 420630251987 + ... + 420630252224.

It is an arithmetic number, because the mean of its divisors is an integer number (15142689075816).

Almost surely, 2^{100110000001109} is an apocalyptic number.

It is an amenable number.

100110000001109 is a deficient number, since it is larger than the sum of its proper divisors (21031512605419).

100110000001109 is an equidigital number, since it uses as much as digits as its factorization.

100110000001109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841260504235.

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

The spelling of 100110000001109 in words is "one hundred trillion, one hundred ten billion, one thousand, one hundred nine".