11100120020200 has 96 divisors (see below), whose sum is σ = 25983991215000. Its totient is φ = 4409738854400.

The previous prime is 11100120020191. The next prime is 11100120020207. The reversal of 11100120020200 is 202002100111.

11100120020200 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 418295910564 + 10681824109636 = 646758^2 + 3268306^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11100120020207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356660640 + ... + 356691760.

Almost surely, 2^{11100120020200} is an apocalyptic number.

11100120020200 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 11100120020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12991995607500).

11100120020200 is an abundant number, since it is smaller than the sum of its proper divisors (14883871194800).

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

11100120020200 is a wasteful number, since it uses less digits than its factorization.

11100120020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43255 (or 43246 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11100120020200 its reverse (202002100111), we get a palindrome (11302122120311).

The spelling of 11100120020200 in words is "eleven trillion, one hundred billion, one hundred twenty million, twenty thousand, two hundred".