21001132000 has 192 divisors, whose sum is σ = 52568792640. Its totient is φ = 8244480000.

The previous prime is 21001131967. The next prime is 21001132039. The reversal of 21001132000 is 23110012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91707886 + ... + 91708114.

It is an arithmetic number, because the mean of its divisors is an integer number (273795795).

Almost surely, 2^21001132000 is an apocalyptic number.

21001132000 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 21001132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26284396320).

21001132000 is an abundant number, since it is smaller than the sum of its proper divisors (31567660640).

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

21001132000 is a wasteful number, since it uses less digits than its factorization.

21001132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 21001132000 its reverse (23110012), we get a palindrome (21024242012).

The spelling of 21001132000 in words is "twenty-one billion, one million, one hundred thirty-two thousand".