11121020100 has 216 divisors, whose sum is σ = 35321379912. Its totient is φ = 2926540800.

The previous prime is 11121020089. The next prime is 11121020143. The reversal of 11121020100 is 102012111.

It is a happy number.

11121020100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 5256830016 + 5864190084 = 72504^2 + 76578^2 .

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

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 71 ways as a sum of consecutive naturals, for example, 37955554 + ... + 37955846.

It is an arithmetic number, because the mean of its divisors is an integer number (163524907).

Almost surely, 2^11121020100 is an apocalyptic number.

11121020100 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 11121020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17660689956).

11121020100 is an abundant number, since it is smaller than the sum of its proper divisors (24200359812).

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

11121020100 is a wasteful number, since it uses less digits than its factorization.

11121020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 717 counting only the distinct ones).

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

Adding to 11121020100 its reverse (102012111), we get a palindrome (11223032211).

The spelling of 11121020100 in words is "eleven billion, one hundred twenty-one million, twenty thousand, one hundred".