100221101100020 has 48 divisors (see below), whose sum is σ = 211551346944000. Its totient is φ = 39881893098624.

The previous prime is 100221101100007. The next prime is 100221101100023. The reversal of 100221101100020 is 20001101122001.

It is a junction number, because it is equal to n+sod(n) for n = 100221101099974 and 100221101100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221101100023) 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 15 ways as a sum of consecutive naturals, for example, 12675764 + ... + 19003083.

It is an arithmetic number, because the mean of its divisors is an integer number (4407319728000).

Almost surely, 2^{100221101100020} is an apocalyptic number.

100221101100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221101100020 is an abundant number, since it is smaller than the sum of its proper divisors (111330245843980).

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

100221101100020 is a wasteful number, since it uses less digits than its factorization.

100221101100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31679672 (or 31679670 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100221101100020 its reverse (20001101122001), we get a palindrome (120222202222021).

The spelling of 100221101100020 in words is "one hundred trillion, two hundred twenty-one billion, one hundred one million, one hundred thousand, twenty".