21120121100200 has 96 divisors (see below), whose sum is σ = 49960631064960. Its totient is φ = 8301573619200.

The previous prime is 21120121100167. The next prime is 21120121100227. The reversal of 21120121100200 is 200112102112.

It is a super-2 number, since 2×21120121100200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287627 + ... + 6625573.

It is an arithmetic number, because the mean of its divisors is an integer number (520423240260).

Almost surely, 2^{21120121100200} is an apocalyptic number.

21120121100200 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 21120121100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24980315532480).

21120121100200 is an abundant number, since it is smaller than the sum of its proper divisors (28840509964760).

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

21120121100200 is a wasteful number, since it uses less digits than its factorization.

21120121100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338307 (or 5338298 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21120121100200 its reverse (200112102112), we get a palindrome (21320233202312).

The spelling of 21120121100200 in words is "twenty-one trillion, one hundred twenty billion, one hundred twenty-one million, one hundred thousand, two hundred".