21120220210200 has 384 divisors, whose sum is σ = 68205612686400. Its totient is φ = 5401718784000.

The previous prime is 21120220210181. The next prime is 21120220210211. The reversal of 21120220210200 is 201202202112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21120220210200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5085531324 + ... + 5085535476.

Almost surely, 2^{21120220210200} is an apocalyptic number.

21120220210200 is a gapful number since it is divisible by the number (20) 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 21120220210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34102806343200).

21120220210200 is an abundant number, since it is smaller than the sum of its proper divisors (47085392476200).

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

21120220210200 is a wasteful number, since it uses less digits than its factorization.

21120220210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7663 (or 7654 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21120220210200 its reverse (201202202112), we get a palindrome (21321422412312).

The spelling of 21120220210200 in words is "twenty-one trillion, one hundred twenty billion, two hundred twenty million, two hundred ten thousand, two hundred".