21001332000 has 384 divisors, whose sum is σ = 75431865600. Its totient is φ = 5065728000.

The previous prime is 21001331971. The next prime is 21001332049. The reversal of 21001332000 is 23310012.

It is a happy number.

It is a super-3 number, since 3×21001332000³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51347796 + ... + 51348204.

It is an arithmetic number, because the mean of its divisors is an integer number (196437150).

Almost surely, 2^21001332000 is an apocalyptic number.

21001332000 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 21001332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37715932800).

21001332000 is an abundant number, since it is smaller than the sum of its proper divisors (54430533600).

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

21001332000 is a wasteful number, since it uses less digits than its factorization.

21001332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 21001332000 its reverse (23310012), we get a palindrome (21024642012).

The spelling of 21001332000 in words is "twenty-one billion, one million, three hundred thirty-two thousand".