11121021100 has 144 divisors (see below), whose sum is σ = 29443115520. Its totient is φ = 3561062400.

The previous prime is 11121021089. The next prime is 11121021151. The reversal of 11121021100 is 112012111.

11121021100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11121021100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 938412 + ... + 950188.

It is an arithmetic number, because the mean of its divisors is an integer number (204466080).

Almost surely, 2^11121021100 is an apocalyptic number.

11121021100 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 11121021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14721557760).

11121021100 is an abundant number, since it is smaller than the sum of its proper divisors (18322094420).

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

11121021100 is a wasteful number, since it uses less digits than its factorization.

11121021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11888 (or 11881 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11121021100 its reverse (112012111), we get a palindrome (11233033211).

The spelling of 11121021100 in words is "eleven billion, one hundred twenty-one million, twenty-one thousand, one hundred".