100011001100100 has 144 divisors (see below), whose sum is σ = 295470166490688. Its totient is φ = 26112260597760.

The previous prime is 100011001100051. The next prime is 100011001100107. The reversal of 100011001100100 is 1001100110001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (100011001100107) 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 47 ways as a sum of consecutive naturals, for example, 13666534 + ... + 19667133.

Almost surely, 2^{100011001100100} is an apocalyptic number.

100011001100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011001100100 is an abundant number, since it is smaller than the sum of its proper divisors (195459165390588).

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

100011001100100 is a wasteful number, since it uses less digits than its factorization.

100011001100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33333894 (or 33333887 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100011001100100 its reverse (1001100110001), we get a palindrome (101012101210101).

Subtracting from 100011001100100 its reverse (1001100110001), we obtain a palindrome (99009900990099).

The spelling of 100011001100100 in words is "one hundred trillion, eleven billion, one million, one hundred thousand, one hundred".