100221201120020 has 24 divisors (see below), whose sum is σ = 210466373497800. Its totient is φ = 40088127848832.

The previous prime is 100221201119989. The next prime is 100221201120043. The reversal of 100221201120020 is 20021102122001.

It can be written as a sum of positive squares in 4 ways, for example, as 13915391751556 + 86305809368464 = 3730334^2 + 9290092^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100221201119977 and 100221201120004.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19700675 + ... + 24260234.

It is an arithmetic number, because the mean of its divisors is an integer number (8769432229075).

Almost surely, 2^{100221201120020} is an apocalyptic number.

100221201120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221201120020 is an abundant number, since it is smaller than the sum of its proper divisors (110245172377780).

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

100221201120020 is a wasteful number, since it uses less digits than its factorization.

100221201120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44074907 (or 44074905 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100221201120020 its reverse (20021102122001), we get a palindrome (120242303242021).

The spelling of 100221201120020 in words is "one hundred trillion, two hundred twenty-one billion, two hundred one million, one hundred twenty thousand, twenty".