10021322128 has 80 divisors (see below), whose sum is σ = 20726910000. Its totient is φ = 4684732416.

The previous prime is 10021322083. The next prime is 10021322137. The reversal of 10021322128 is 82122312001.

It can be written as a sum of positive squares in 8 ways, for example, as 4691154064 + 5330168064 = 68492^2 + 73008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10021322099 and 10021322108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3930198 + ... + 3932746.

It is an arithmetic number, because the mean of its divisors is an integer number (259086375).

Almost surely, 2^10021322128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021322128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10363455000).

10021322128 is an abundant number, since it is smaller than the sum of its proper divisors (10705587872).

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

10021322128 is a wasteful number, since it uses less digits than its factorization.

10021322128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 10021322128 its reverse (82122312001), we get a palindrome (92143634129).

The spelling of 10021322128 in words is "ten billion, twenty-one million, three hundred twenty-two thousand, one hundred twenty-eight".