21333011022120 has 384 divisors, whose sum is σ = 74923095139200. Its totient is φ = 4845024221184.

The previous prime is 21333011022109. The next prime is 21333011022163. The reversal of 21333011022120 is 2122011033312.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2013112662 + ... + 2013123258.

It is an arithmetic number, because the mean of its divisors is an integer number (195112226925).

Almost surely, 2^{21333011022120} is an apocalyptic number.

21333011022120 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 21333011022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37461547569600).

21333011022120 is an abundant number, since it is smaller than the sum of its proper divisors (53590084117080).

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

21333011022120 is a wasteful number, since it uses less digits than its factorization.

21333011022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12777 (or 12766 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21333011022120 its reverse (2122011033312), we get a palindrome (23455022055432).

The spelling of 21333011022120 in words is "twenty-one trillion, three hundred thirty-three billion, eleven million, twenty-two thousand, one hundred twenty".