21002120021120 has 256 divisors, whose sum is σ = 58726962835200. Its totient is φ = 7031862706176.

The previous prime is 21002120021083. The next prime is 21002120021131. The reversal of 21002120021120 is 2112002120012.

21002120021120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21002120021095 and 21002120021104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1500465962 + ... + 1500479958.

It is an arithmetic number, because the mean of its divisors is an integer number (229402198575).

Almost surely, 2^{21002120021120} is an apocalyptic number.

21002120021120 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 21002120021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29363481417600).

21002120021120 is an abundant number, since it is smaller than the sum of its proper divisors (37724842814080).

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

21002120021120 is a wasteful number, since it uses less digits than its factorization.

21002120021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21855 (or 21843 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21002120021120 its reverse (2112002120012), we get a palindrome (23114122141132).

The spelling of 21002120021120 in words is "twenty-one trillion, two billion, one hundred twenty million, twenty-one thousand, one hundred twenty".