201221221100020 has 24 divisors (see below), whose sum is σ = 460979524702368. Its totient is φ = 73171353127200.

The previous prime is 201221221099949. The next prime is 201221221100069. The reversal of 201221221100020 is 20001122122102.

It is a happy number.

201221221100020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201221221099967 and 201221221100003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457320956826 + ... + 457320957265.

It is an arithmetic number, because the mean of its divisors is an integer number (19207480195932).

Almost surely, 2^{201221221100020} is an apocalyptic number.

201221221100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221221100020 is an abundant number, since it is smaller than the sum of its proper divisors (259758303602348).

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

201221221100020 is a wasteful number, since it uses less digits than its factorization.

201221221100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914641914111 (or 914641914109 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201221221100020 its reverse (20001122122102), we get a palindrome (221222343222122).

The spelling of 201221221100020 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred thousand, twenty".