100000101100109 has 32 divisors (see below), whose sum is σ = 115584693534720. Its totient is φ = 84745065924288.

The previous prime is 100000101100057. The next prime is 100000101100129. The reversal of 100000101100109 is 901001101000001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-100000101100109 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 = 100000101100093 and 100000101100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000101100129) 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, 943175102 + ... + 943281120.

It is an arithmetic number, because the mean of its divisors is an integer number (3612021672960).

Almost surely, 2^{100000101100109} is an apocalyptic number.

It is an amenable number.

100000101100109 is a deficient number, since it is larger than the sum of its proper divisors (15584592434611).

100000101100109 is a wasteful number, since it uses less digits than its factorization.

100000101100109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109817.

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

The spelling of 100000101100109 in words is "one hundred trillion, one hundred one million, one hundred thousand, one hundred nine".