100011100100 has 108 divisors (see below), whose sum is σ = 227637096960. Its totient is φ = 38135803200.

The previous prime is 100011100099. The next prime is 100011100103. The reversal of 100011100100 is 1001110001.

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

It is not an unprimeable number, because it can be changed into a prime (100011100103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16448861 + ... + 16454939.

Almost surely, 2^100011100100 is an apocalyptic number.

100011100100 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 100011100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113818548480).

100011100100 is an abundant number, since it is smaller than the sum of its proper divisors (127625996860).

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

100011100100 is a wasteful number, since it uses less digits than its factorization.

100011100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6450 (or 6420 counting only the distinct ones).

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

Adding to 100011100100 its reverse (1001110001), we get a palindrome (101012210101).

Subtracting from 100011100100 its reverse (1001110001), we obtain a palindrome (99009990099).

The spelling of 100011100100 in words is "one hundred billion, eleven million, one hundred thousand, one hundred".