100221221100 has 288 divisors, whose sum is σ = 389336080896. Its totient is φ = 19223193600.

The previous prime is 100221221083. The next prime is 100221221143. The reversal of 100221221100 is 1122122001.

100221221100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133432 + ... + 467168.

It is an arithmetic number, because the mean of its divisors is an integer number (1351861392).

Almost surely, 2^100221221100 is an apocalyptic number.

100221221100 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 100221221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194668040448).

100221221100 is an abundant number, since it is smaller than the sum of its proper divisors (289114859796).

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

100221221100 is a wasteful number, since it uses less digits than its factorization.

100221221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333785 (or 333778 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100221221100 its reverse (1122122001), we get a palindrome (101343343101).

Subtracting from 100221221100 its reverse (1122122001), we obtain a palindrome (99099099099).

The spelling of 100221221100 in words is "one hundred billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred".