201221120120020 has 192 divisors, whose sum is σ = 572976553185792. Its totient is φ = 57320582400000.

The previous prime is 201221120120003. The next prime is 201221120120023. The reversal of 201221120120020 is 20021021122102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201221120119976 and 201221120120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201221120120023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47735431 + ... + 51779470.

It is an arithmetic number, because the mean of its divisors is an integer number (2984252881176).

Almost surely, 2^{201221120120020} is an apocalyptic number.

201221120120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221120120020 is an abundant number, since it is smaller than the sum of its proper divisors (371755433065772).

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

201221120120020 is a wasteful number, since it uses less digits than its factorization.

201221120120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99515042 (or 99515040 counting only the distinct ones).

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

Adding to 201221120120020 its reverse (20021021122102), we get a palindrome (221242141242122).

The spelling of 201221120120020 in words is "two hundred one trillion, two hundred twenty-one billion, one hundred twenty million, one hundred twenty thousand, twenty".