11201132100 has 144 divisors (see below), whose sum is σ = 33413847488. Its totient is φ = 2894952960.

The previous prime is 11201132093. The next prime is 11201132147. The reversal of 11201132100 is 123110211.

11201132100 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 (12).

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 47 ways as a sum of consecutive naturals, for example, 3072879 + ... + 3076521.

Almost surely, 2^11201132100 is an apocalyptic number.

11201132100 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 11201132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16706923744).

11201132100 is an abundant number, since it is smaller than the sum of its proper divisors (22212715388).

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

11201132100 is a wasteful number, since it uses less digits than its factorization.

11201132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11201132100 its reverse (123110211), we get a palindrome (11324242311).

The spelling of 11201132100 in words is "eleven billion, two hundred one million, one hundred thirty-two thousand, one hundred".