100111101101118 has 96 divisors (see below), whose sum is σ = 222929408126880. Its totient is φ = 32449282145280.

The previous prime is 100111101101117. The next prime is 100111101101171. The reversal of 100111101101118 is 811101101111001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 100111101101118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111101101111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4084654648 + ... + 4084679156.

It is an arithmetic number, because the mean of its divisors is an integer number (2322181334655).

Almost surely, 2^{100111101101118} is an apocalyptic number.

100111101101118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100111101101118 is an abundant number, since it is smaller than the sum of its proper divisors (122818307025762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100111101101118 is a wasteful number, since it uses less digits than its factorization.

100111101101118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42554 (or 42551 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 18.

Adding to 100111101101118 its reverse (811101101111001), we get a palindrome (911212202212119).

The spelling of 100111101101118 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred one thousand, one hundred eighteen".