21001032000 has 784 divisors, whose sum is σ = 84279376272. Its totient is φ = 5150822400.

The previous prime is 21001031971. The next prime is 21001032023. The reversal of 21001032000 is 23010012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14474977344 + 6526054656 = 120312^2 + 80784^2 .

It is a super-3 number, since 3×21001032000³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 75815862 + ... + 75816138.

Almost surely, 2^21001032000 is an apocalyptic number.

21001032000 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 21001032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42139688136).

21001032000 is an abundant number, since it is smaller than the sum of its proper divisors (63278344272).

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

21001032000 is an equidigital number, since it uses as much as digits as its factorization.

21001032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 300 counting only the distinct ones).

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

Adding to 21001032000 its reverse (23010012), we get a palindrome (21024042012).

The spelling of 21001032000 in words is "twenty-one billion, one million, thirty-two thousand".