100000111100 has 72 divisors (see below), whose sum is σ = 223115678016. Its totient is φ = 38880000000.

The previous prime is 100000111061. The next prime is 100000111151. The reversal of 100000111100 is 1111000001.

It is a Harshad number since it is a multiple of its sum of digits (5).

100000111100 is a modest number, since divided by 111100 gives 1000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1066100 + ... + 1156100.

Almost surely, 2^100000111100 is an apocalyptic number.

100000111100 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 100000111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111557839008).

100000111100 is an abundant number, since it is smaller than the sum of its proper divisors (123115566916).

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

100000111100 is a wasteful number, since it uses less digits than its factorization.

100000111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90327 (or 90320 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100000111100 its reverse (1111000001), we get a palindrome (101111111101).

It can be divided in two parts, 1000001 and 11100, that added together give a palindrome (1011101).

The spelling of 100000111100 in words is "one hundred billion, one hundred eleven thousand, one hundred".