221001320000320 has 112 divisors (see below), whose sum is σ = 549339274598400. Its totient is φ = 84587674152960.

The previous prime is 221001320000317. The next prime is 221001320000341. The reversal of 221001320000320 is 23000023100122.

221001320000320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 221001320000294 and 221001320000303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124276440 + ... + 126042199.

Almost surely, 2^{221001320000320} is an apocalyptic number.

221001320000320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001320000320 is an abundant number, since it is smaller than the sum of its proper divisors (328337954598080).

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

221001320000320 is a wasteful number, since it uses less digits than its factorization.

221001320000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250318776 (or 250318766 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 221001320000320 its reverse (23000023100122), we get a palindrome (244001343100442).

The spelling of 221001320000320 in words is "two hundred twenty-one trillion, one billion, three hundred twenty million, three hundred twenty", and thus it is an aban number.