21200440010200 has 96 divisors (see below), whose sum is σ = 53775230040000. Its totient is φ = 7708791427200.

The previous prime is 21200440010171. The next prime is 21200440010209. The reversal of 21200440010200 is 201004400212.

It is a super-2 number, since 2×21200440010200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200440010209) 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 23 ways as a sum of consecutive naturals, for example, 37779271 + ... + 38336329.

It is an arithmetic number, because the mean of its divisors is an integer number (560158646250).

Almost surely, 2^{21200440010200} is an apocalyptic number.

21200440010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200440010200 is an abundant number, since it is smaller than the sum of its proper divisors (32574790029800).

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

21200440010200 is a wasteful number, since it uses less digits than its factorization.

21200440010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574385 (or 574376 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21200440010200 its reverse (201004400212), we get a palindrome (21401444410412).

It can be divided in two parts, 212004 and 40010200, that added together give a palindrome (40222204).

The spelling of 21200440010200 in words is "twenty-one trillion, two hundred billion, four hundred forty million, ten thousand, two hundred".