21122321333300 has 288 divisors, whose sum is σ = 53880295440384. Its totient is φ = 7107141888000.

The previous prime is 21122321333263. The next prime is 21122321333357. The reversal of 21122321333300 is 333312322112.

It is a self number, because there is not a number n which added to its sum of digits gives 21122321333300.

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, 3652482209 + ... + 3652487991.

It is an arithmetic number, because the mean of its divisors is an integer number (187084359168).

Almost surely, 2^{21122321333300} is an apocalyptic number.

21122321333300 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 21122321333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26940147720192).

21122321333300 is an abundant number, since it is smaller than the sum of its proper divisors (32757974107084).

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

21122321333300 is a wasteful number, since it uses less digits than its factorization.

21122321333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10519 (or 10512 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 21122321333300 its reverse (333312322112), we get a palindrome (21455633655412).

The spelling of 21122321333300 in words is "twenty-one trillion, one hundred twenty-two billion, three hundred twenty-one million, three hundred thirty-three thousand, three hundred".