201221011122320 has 40 divisors (see below), whose sum is σ = 534672972412224. Its totient is φ = 68990060956032.

The previous prime is 201221011122317. The next prime is 201221011122349. The reversal of 201221011122320 is 23221110122102.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201221011122292 and 201221011122301.

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, 179661616514 + ... + 179661617633.

Almost surely, 2^{201221011122320} is an apocalyptic number.

201221011122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221011122320 is an abundant number, since it is smaller than the sum of its proper divisors (333451961289904).

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

201221011122320 is a wasteful number, since it uses less digits than its factorization.

201221011122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359323234167 (or 359323234161 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 201221011122320 its reverse (23221110122102), we get a palindrome (224442121244422).

The spelling of 201221011122320 in words is "two hundred one trillion, two hundred twenty-one billion, eleven million, one hundred twenty-two thousand, three hundred twenty".