201121000221220 has 48 divisors (see below), whose sum is σ = 436929068721600. Its totient is φ = 77672355770240.

The previous prime is 201121000221199. The next prime is 201121000221221. The reversal of 201121000221220 is 22122000121102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201121000221194 and 201121000221203.

It is not an unprimeable number, because it can be changed into a prime (201121000221221) 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, 18713235 + ... + 27430405.

It is an arithmetic number, because the mean of its divisors is an integer number (9102688931700).

Almost surely, 2^{201121000221220} is an apocalyptic number.

201121000221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121000221220 is an abundant number, since it is smaller than the sum of its proper divisors (235808068500380).

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

201121000221220 is a wasteful number, since it uses less digits than its factorization.

201121000221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8756988 (or 8756986 counting only the distinct ones).

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

Adding to 201121000221220 its reverse (22122000121102), we get a palindrome (223243000342322).

The spelling of 201121000221220 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred twenty-one thousand, two hundred twenty".