10021333010432 has 192 divisors, whose sum is σ = 20895063724080. Its totient is φ = 4800931430400.

The previous prime is 10021333010431. The next prime is 10021333010449. The reversal of 10021333010432 is 23401033312001.

It can be written as a sum of positive squares in 8 ways, for example, as 278344877056 + 9742988133376 = 527584^2 + 3121376^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10021333010398 and 10021333010407.

It is not an unprimeable number, because it can be changed into a prime (10021333010431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4881310718 + ... + 4881312770.

Almost surely, 2^{10021333010432} 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 10021333010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10447531862040).

10021333010432 is an abundant number, since it is smaller than the sum of its proper divisors (10873730713648).

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

10021333010432 is an equidigital number, since it uses as much as digits as its factorization.

10021333010432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10021333010432 its reverse (23401033312001), we get a palindrome (33422366322433).

The spelling of 10021333010432 in words is "ten trillion, twenty-one billion, three hundred thirty-three million, ten thousand, four hundred thirty-two".