100000221100020 has 144 divisors (see below), whose sum is σ = 338081243048640. Its totient is φ = 23777142340608.

The previous prime is 100000221100019. The next prime is 100000221100093. The reversal of 100000221100020 is 20001122000001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100000221099975 and 100000221100011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 859936882 + ... + 860053161.

It is an arithmetic number, because the mean of its divisors is an integer number (2347786410060).

Almost surely, 2^{100000221100020} is an apocalyptic number.

100000221100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000221100020 is an abundant number, since it is smaller than the sum of its proper divisors (238081021948620).

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

100000221100020 is a wasteful number, since it uses less digits than its factorization.

100000221100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719990094 (or 1719990089 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100000221100020 its reverse (20001122000001), we get a palindrome (120001343100021).

The spelling of 100000221100020 in words is "one hundred trillion, two hundred twenty-one million, one hundred thousand, twenty".