11002101200 has 60 divisors (see below), whose sum is σ = 27344044140. Its totient is φ = 4249082880.

The previous prime is 11002101193. The next prime is 11002101203. The reversal of 11002101200 is 210120011.

It can be written as a sum of positive squares in 6 ways, for example, as 3125824 + 10998975376 = 1768^2 + 104876^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002101203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 462629 + ... + 485828.

It is an arithmetic number, because the mean of its divisors is an integer number (455734069).

Almost surely, 2^11002101200 is an apocalyptic number.

11002101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002101200 is an abundant number, since it is smaller than the sum of its proper divisors (16341942940).

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

11002101200 is a wasteful number, since it uses less digits than its factorization.

11002101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948504 (or 948493 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11002101200 its reverse (210120011), we get a palindrome (11212221211).

The spelling of 11002101200 in words is "eleven billion, two million, one hundred one thousand, two hundred".