21002001300000 has 1152 divisors, whose sum is σ = 87693222274560. Its totient is φ = 4790016000000.

The previous prime is 21002001299999. The next prime is 21002001300067. The reversal of 21002001300000 is 310020012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11661299100 + ... + 11661300900.

It is an arithmetic number, because the mean of its divisors is an integer number (76122588780).

Almost surely, 2^{21002001300000} is an apocalyptic number.

21002001300000 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 21002001300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43846611137280).

21002001300000 is an abundant number, since it is smaller than the sum of its proper divisors (66691220974560).

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

21002001300000 is an equidigital number, since it uses as much as digits as its factorization.

21002001300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 21002001300000 its reverse (310020012), we get a palindrome (21002311320012).

The spelling of 21002001300000 in words is "twenty-one trillion, two billion, one million, three hundred thousand".