100110111111100 has 108 divisors (see below), whose sum is σ = 223488433817824. Its totient is φ = 38923182720000.

The previous prime is 100110111111077. The next prime is 100110111111139. The reversal of 100110111111100 is 1111111011001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44456320 + ... + 46653880.

Almost surely, 2^{100110111111100} is an apocalyptic number.

100110111111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110111111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111744216908912).

100110111111100 is an abundant number, since it is smaller than the sum of its proper divisors (123378322706724).

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

100110111111100 is a wasteful number, since it uses less digits than its factorization.

100110111111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197928 (or 2197880 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100110111111100 its reverse (1111111011001), we get a palindrome (101221222122101).

It can be divided in two parts, 10011011 and 1111100, that added together give a palindrome (11122111).

The spelling of 100110111111100 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, one hundred eleven thousand, one hundred".