11132000100 has 432 divisors, whose sum is σ = 39411852480. Its totient is φ = 2709158400.

The previous prime is 11132000051. The next prime is 11132000111. The reversal of 11132000100 is 100023111.

11132000100 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 (9).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 41382766 + ... + 41383034.

It is an arithmetic number, because the mean of its divisors is an integer number (91231140).

Almost surely, 2^11132000100 is an apocalyptic number.

11132000100 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 11132000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19705926240).

11132000100 is an abundant number, since it is smaller than the sum of its proper divisors (28279852380).

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

11132000100 is a wasteful number, since it uses less digits than its factorization.

11132000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11132000100 its reverse (100023111), we get a palindrome (11232023211).

The spelling of 11132000100 in words is "eleven billion, one hundred thirty-two million, one hundred", and thus it is an aban number.