100221000000020 has 48 divisors (see below), whose sum is σ = 211566245602320. Its totient is φ = 39878936638464.

The previous prime is 100220999999987. The next prime is 100221000000029. The reversal of 100221000000020 is 20000000122001.

100221000000020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 27448566983044 + 72772433016976 = 5239138^2 + 8530676^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100220999999944 and 100221000000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221000000029) 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 15 ways as a sum of consecutive naturals, for example, 11241815 + ... + 18078174.

It is an arithmetic number, because the mean of its divisors is an integer number (4407630116715).

Almost surely, 2^{100221000000020} is an apocalyptic number.

100221000000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221000000020 is an abundant number, since it is smaller than the sum of its proper divisors (111345245602300).

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

100221000000020 is a wasteful number, since it uses less digits than its factorization.

100221000000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29320892 (or 29320890 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 100221000000020 its reverse (20000000122001), we get a palindrome (120221000122021).

The spelling of 100221000000020 in words is "one hundred trillion, two hundred twenty-one billion, twenty", and thus it is an aban number.