10021333003000 has 256 divisors, whose sum is σ = 26511338880000. Its totient is φ = 3512149312000.

The previous prime is 10021333002907. The next prime is 10021333003001. The reversal of 10021333003000 is 30033312001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021333003001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179569101 + ... + 179624899.

It is an arithmetic number, because the mean of its divisors is an integer number (103559917500).

Almost surely, 2^{10021333003000} is an apocalyptic number.

10021333003000 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 10021333003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13255669440000).

10021333003000 is an abundant number, since it is smaller than the sum of its proper divisors (16490005877000).

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

10021333003000 is a wasteful number, since it uses less digits than its factorization.

10021333003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56423 (or 56409 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 10021333003000 its reverse (30033312001), we get a palindrome (10051366315001).

The spelling of 10021333003000 in words is "ten trillion, twenty-one billion, three hundred thirty-three million, three thousand".