11121200100 has 144 divisors (see below), whose sum is σ = 36069983040. Its totient is φ = 2939328000.

The previous prime is 11121200093. The next prime is 11121200159. The reversal of 11121200100 is 100212111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286875 + ... + 323325.

Almost surely, 2^11121200100 is an apocalyptic number.

11121200100 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 11121200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18034991520).

11121200100 is an abundant number, since it is smaller than the sum of its proper divisors (24948782940).

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

11121200100 is a wasteful number, since it uses less digits than its factorization.

11121200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36587 (or 36574 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11121200100 its reverse (100212111), we get a palindrome (11221412211).

The spelling of 11121200100 in words is "eleven billion, one hundred twenty-one million, two hundred thousand, one hundred".