10221320300 has 144 divisors (see below), whose sum is σ = 23724731520. Its totient is φ = 3816483840.

The previous prime is 10221320293. The next prime is 10221320311. The reversal of 10221320300 is 302312201.

It is a happy number.

10221320300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10221320300³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9216146 + ... + 9217254.

It is an arithmetic number, because the mean of its divisors is an integer number (164755080).

Almost surely, 2^10221320300 is an apocalyptic number.

10221320300 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 10221320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11862365760).

10221320300 is an abundant number, since it is smaller than the sum of its proper divisors (13503411220).

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

10221320300 is a wasteful number, since it uses less digits than its factorization.

10221320300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10221320300 its reverse (302312201), we get a palindrome (10523632501).

The spelling of 10221320300 in words is "ten billion, two hundred twenty-one million, three hundred twenty thousand, three hundred".