201221012121220 has 144 divisors (see below), whose sum is σ = 532613697231168. Its totient is φ = 63292438782720.

The previous prime is 201221012121211. The next prime is 201221012121257. The reversal of 201221012121220 is 22121210122102.

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 47 ways as a sum of consecutive naturals, for example, 46372546 + ... + 50525785.

It is an arithmetic number, because the mean of its divisors is an integer number (3698706230772).

Almost surely, 2^{201221012121220} is an apocalyptic number.

201221012121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221012121220 is an abundant number, since it is smaller than the sum of its proper divisors (331392685109948).

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

201221012121220 is a wasteful number, since it uses less digits than its factorization.

201221012121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96898530 (or 96898521 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 201221012121220 its reverse (22121210122102), we get a palindrome (223342222243322).

The spelling of 201221012121220 in words is "two hundred one trillion, two hundred twenty-one billion, twelve million, one hundred twenty-one thousand, two hundred twenty".