11232121100100 has 288 divisors, whose sum is σ = 34152080793600. Its totient is φ = 2846401689600.

The previous prime is 11232121100063. The next prime is 11232121100177. The reversal of 11232121100100 is 100112123211.

11232121100100 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 11232121100100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 530582316 + ... + 530603484.

Almost surely, 2^{11232121100100} is an apocalyptic number.

11232121100100 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 11232121100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17076040396800).

11232121100100 is an abundant number, since it is smaller than the sum of its proper divisors (22919959693500).

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

11232121100100 is a wasteful number, since it uses less digits than its factorization.

11232121100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22243 (or 22236 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11232121100100 its reverse (100112123211), we get a palindrome (11332233223311).

The spelling of 11232121100100 in words is "eleven trillion, two hundred thirty-two billion, one hundred twenty-one million, one hundred thousand, one hundred".