321002000000020 has 48 divisors (see below), whose sum is σ = 675823092891408. Its totient is φ = 128073603445760.

The previous prime is 321001999999963. The next prime is 321002000000041. The reversal of 321002000000020 is 20000000200123.

It can be written as a sum of positive squares in 8 ways, for example, as 73727570098576 + 247274429901444 = 8586476^2 + 15724962^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 321001999999943 and 321002000000006.

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, 17664822 + ... + 30887698.

It is an arithmetic number, because the mean of its divisors is an integer number (14079647768571).

Almost surely, 2^{321002000000020} is an apocalyptic number.

It is an amenable number.

321002000000020 is an abundant number, since it is smaller than the sum of its proper divisors (354821092891388).

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

321002000000020 is a wasteful number, since it uses less digits than its factorization.

321002000000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13225980 (or 13225978 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 321002000000020 its reverse (20000000200123), we get a palindrome (341002000200143).

The spelling of 321002000000020 in words is "three hundred twenty-one trillion, two billion, twenty", and thus it is an aban number.