21120221210200 has 288 divisors, whose sum is σ = 58689120843360. Its totient is φ = 6923595571200.

The previous prime is 21120221210161. The next prime is 21120221210201. The reversal of 21120221210200 is 201212202112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120221210201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2693558280 + ... + 2693566120.

It is an arithmetic number, because the mean of its divisors is an integer number (203781669595).

Almost surely, 2^{21120221210200} is an apocalyptic number.

21120221210200 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 21120221210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29344560421680).

21120221210200 is an abundant number, since it is smaller than the sum of its proper divisors (37568899633160).

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

21120221210200 is a wasteful number, since it uses less digits than its factorization.

21120221210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11547 (or 11515 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21120221210200 its reverse (201212202112), we get a palindrome (21321433412312).

The spelling of 21120221210200 in words is "twenty-one trillion, one hundred twenty billion, two hundred twenty-one million, two hundred ten thousand, two hundred".