100303221100 has 144 divisors (see below), whose sum is σ = 234606546720. Its totient is φ = 37107763200.

The previous prime is 100303221097. The next prime is 100303221101. The reversal of 100303221100 is 1122303001.

100303221100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100303221101) 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 47 ways as a sum of consecutive naturals, for example, 15875142 + ... + 15881458.

It is an arithmetic number, because the mean of its divisors is an integer number (1629212130).

Almost surely, 2^100303221100 is an apocalyptic number.

100303221100 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 100303221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117303273360).

100303221100 is an abundant number, since it is smaller than the sum of its proper divisors (134303325620).

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

100303221100 is a wasteful number, since it uses less digits than its factorization.

100303221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548 (or 6541 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100303221100 its reverse (1122303001), we get a palindrome (101425524101).

The spelling of 100303221100 in words is "one hundred billion, three hundred three million, two hundred twenty-one thousand, one hundred".