100221200102220 has 96 divisors (see below), whose sum is σ = 295390997126400. Its totient is φ = 25318851727104.

The previous prime is 100221200102203. The next prime is 100221200102227. The reversal of 100221200102220 is 22201002122001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100221200102220.

It is not an unprimeable number, because it can be changed into a prime (100221200102227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215488767 + ... + 215953353.

It is an arithmetic number, because the mean of its divisors is an integer number (3076989553400).

Almost surely, 2^{100221200102220} is an apocalyptic number.

100221200102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221200102220 is an abundant number, since it is smaller than the sum of its proper divisors (195169797024180).

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

100221200102220 is a wasteful number, since it uses less digits than its factorization.

100221200102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653847 (or 653845 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100221200102220 its reverse (22201002122001), we get a palindrome (122422202224221).

The spelling of 100221200102220 in words is "one hundred trillion, two hundred twenty-one billion, two hundred million, one hundred two thousand, two hundred twenty".