10221000100 has 72 divisors (see below), whose sum is σ = 23806241928. Its totient is φ = 3795148800.

The previous prime is 10221000079. The next prime is 10221000109. The reversal of 10221000100 is 100012201.

It can be written as a sum of positive squares in 12 ways, for example, as 988096356 + 9232903744 = 31434^2 + 96088^2 .

It is not an unprimeable number, because it can be changed into a prime (10221000109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82920 + ... + 165280.

It is an arithmetic number, because the mean of its divisors is an integer number (330642249).

Almost surely, 2^10221000100 is an apocalyptic number.

10221000100 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 10221000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11903120964).

10221000100 is an abundant number, since it is smaller than the sum of its proper divisors (13585241828).

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

10221000100 is a wasteful number, since it uses less digits than its factorization.

10221000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82465 (or 82458 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10221000100 its reverse (100012201), we get a palindrome (10321012301).

The spelling of 10221000100 in words is "ten billion, two hundred twenty-one million, one hundred", and thus it is an aban number.