21002120130200 has 192 divisors, whose sum is σ = 54266941872000. Its totient is φ = 7494516864000.

The previous prime is 21002120130151. The next prime is 21002120130209. The reversal of 21002120130200 is 203102120012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002120130209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73974116 + ... + 74257484.

It is an arithmetic number, because the mean of its divisors is an integer number (282640322250).

Almost surely, 2^{21002120130200} is an apocalyptic number.

21002120130200 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 21002120130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27133470936000).

21002120130200 is an abundant number, since it is smaller than the sum of its proper divisors (33264821741800).

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

21002120130200 is a wasteful number, since it uses less digits than its factorization.

21002120130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284026 (or 284017 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 21002120130200 its reverse (203102120012), we get a palindrome (21205222250212).

The spelling of 21002120130200 in words is "twenty-one trillion, two billion, one hundred twenty million, one hundred thirty thousand, two hundred".