11002111320200 has 768 divisors, whose sum is σ = 34623348963840. Its totient is φ = 3139928064000.

The previous prime is 11002111320197. The next prime is 11002111320223. The reversal of 11002111320200 is 202311120011.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 191 ways as a sum of consecutive naturals, for example, 21117295940 + ... + 21117296460.

It is an arithmetic number, because the mean of its divisors is an integer number (45082485630).

Almost surely, 2^{11002111320200} is an apocalyptic number.

11002111320200 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 11002111320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17311674481920).

11002111320200 is an abundant number, since it is smaller than the sum of its proper divisors (23621237643640).

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

11002111320200 is a wasteful number, since it uses less digits than its factorization.

11002111320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11002111320200 its reverse (202311120011), we get a palindrome (11204422440211).

It can be divided in two parts, 11002111 and 320200, that added together give a palindrome (11322311).

The spelling of 11002111320200 in words is "eleven trillion, two billion, one hundred eleven million, three hundred twenty thousand, two hundred".