10021321000 has 128 divisors (see below), whose sum is σ = 23832675360. Its totient is φ = 3943680000.

The previous prime is 10021320949. The next prime is 10021321001. The reversal of 10021321000 is 12312001.

It can be written as a sum of positive squares in 16 ways, for example, as 2700465156 + 7320855844 = 51966^2 + 85562^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10021321001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31612842 + ... + 31613158.

Almost surely, 2^10021321000 is an apocalyptic number.

10021321000 is a gapful number since it is divisible by the number (10) 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 10021321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11916337680).

10021321000 is an abundant number, since it is smaller than the sum of its proper divisors (13811354360).

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

10021321000 is a wasteful number, since it uses less digits than its factorization.

10021321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 738 counting only the distinct ones).

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

Adding to 10021321000 its reverse (12312001), we get a palindrome (10033633001).

The spelling of 10021321000 in words is "ten billion, twenty-one million, three hundred twenty-one thousand".