12091100100 has 144 divisors (see below), whose sum is σ = 36031027200. Its totient is φ = 3129160320.

The previous prime is 12091100089. The next prime is 12091100101. The reversal of 12091100100 is 100119021.

12091100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12091100100.

It is not an unprimeable number, because it can be changed into a prime (12091100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1393977 + ... + 1402623.

Almost surely, 2^12091100100 is an apocalyptic number.

12091100100 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 12091100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18015513600).

12091100100 is an abundant number, since it is smaller than the sum of its proper divisors (23939927100).

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

12091100100 is a wasteful number, since it uses less digits than its factorization.

12091100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8802 (or 8795 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 12091100100 its reverse (100119021), we get a palindrome (12191219121).

The spelling of 12091100100 in words is "twelve billion, ninety-one million, one hundred thousand, one hundred".