10053221024 has 144 divisors (see below), whose sum is σ = 26439527520. Its totient is φ = 3710568960.

The previous prime is 10053221023. The next prime is 10053221051. The reversal of 10053221024 is 42012235001.

It is a junction number, because it is equal to n+sod(n) for n = 10053220987 and 10053221005.

It is not an unprimeable number, because it can be changed into a prime (10053221023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312374 + ... + 343050.

It is an arithmetic number, because the mean of its divisors is an integer number (183607830).

Almost surely, 2^10053221024 is an apocalyptic number.

10053221024 is a gapful number since it is divisible by the number (14) 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 10053221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219763760).

10053221024 is an abundant number, since it is smaller than the sum of its proper divisors (16386306496).

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

10053221024 is a wasteful number, since it uses less digits than its factorization.

10053221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30731 (or 30716 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10053221024 its reverse (42012235001), we get a palindrome (52065456025).

The spelling of 10053221024 in words is "ten billion, fifty-three million, two hundred twenty-one thousand, twenty-four".