11121001100 has 108 divisors (see below), whose sum is σ = 26583058992. Its totient is φ = 4035292800.

The previous prime is 11121001079. The next prime is 11121001109. The reversal of 11121001100 is 110012111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11121001109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8989682 + ... + 8990918.

Almost surely, 2^11121001100 is an apocalyptic number.

11121001100 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 11121001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13291529496).

11121001100 is an abundant number, since it is smaller than the sum of its proper divisors (15462057892).

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

11121001100 is a wasteful number, since it uses less digits than its factorization.

11121001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11121001100 its reverse (110012111), we get a palindrome (11231013211).

The spelling of 11121001100 in words is "eleven billion, one hundred twenty-one million, one thousand, one hundred".