10024221001300 has 288 divisors, whose sum is σ = 25699655116800. Its totient is φ = 3352637798400.

The previous prime is 10024221001231. The next prime is 10024221001303. The reversal of 10024221001300 is 310012242001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024221001303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 600280351 + ... + 600297049.

It is an arithmetic number, because the mean of its divisors is an integer number (89234913600).

Almost surely, 2^{10024221001300} is an apocalyptic number.

10024221001300 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 10024221001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12849827558400).

10024221001300 is an abundant number, since it is smaller than the sum of its proper divisors (15675434115500).

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

10024221001300 is a wasteful number, since it uses less digits than its factorization.

10024221001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17471 (or 17464 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10024221001300 its reverse (310012242001), we get a palindrome (10334233243301).

The spelling of 10024221001300 in words is "ten trillion, twenty-four billion, two hundred twenty-one million, one thousand, three hundred".