11200000100 has 72 divisors (see below), whose sum is σ = 25169092200. Its totient is φ = 4320870400.

The previous prime is 11200000093. The next prime is 11200000103. The reversal of 11200000100 is 100000211.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7554738724 + 3645261376 = 86918^2 + 60376^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (11200000103) 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, 4084730 + ... + 4087470.

It is an arithmetic number, because the mean of its divisors is an integer number (349570725).

Almost surely, 2^11200000100 is an apocalyptic number.

11200000100 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 11200000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12584546100).

11200000100 is an abundant number, since it is smaller than the sum of its proper divisors (13969092100).

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

11200000100 is a wasteful number, since it uses less digits than its factorization.

11200000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 11200000100 its reverse (100000211), we get a palindrome (11300000311).

The spelling of 11200000100 in words is "eleven billion, two hundred million, one hundred", and thus it is an aban number.