201221202201120 has 192 divisors, whose sum is σ = 704345274622080. Its totient is φ = 53653572633600.

The previous prime is 201221202201113. The next prime is 201221202201139. The reversal of 201221202201120 is 21102202122102.

It is a happy number.

201221202201120 is a `hidden beast` number, since 20 + 1 + 221 + 202 + 201 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201221202201093 and 201221202201102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40556790 + ... + 45247050.

It is an arithmetic number, because the mean of its divisors is an integer number (3668464971990).

Almost surely, 2^{201221202201120} is an apocalyptic number.

201221202201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201221202201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352172637311040).

201221202201120 is an abundant number, since it is smaller than the sum of its proper divisors (503124072420960).

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

201221202201120 is a wasteful number, since it uses less digits than its factorization.

201221202201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4700216 (or 4700202 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201221202201120 its reverse (21102202122102), we get a palindrome (222323404323222).

The spelling of 201221202201120 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred two million, two hundred one thousand, one hundred twenty".