321430100200000 has 672 divisors, whose sum is σ = 885846883420800. Its totient is φ = 114723072000000.

The previous prime is 321430100199931. The next prime is 321430100200007. The reversal of 321430100200000 is 2001034123.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (321430100200007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105008198470 + ... + 105008201530.

It is an arithmetic number, because the mean of its divisors is an integer number (1318224528900).

Almost surely, 2^{321430100200000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321430100200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442923441710400).

321430100200000 is an abundant number, since it is smaller than the sum of its proper divisors (564416783220800).

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

321430100200000 is an equidigital number, since it uses as much as digits as its factorization.

321430100200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977 (or 3947 counting only the distinct ones).

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

Adding to 321430100200000 its reverse (2001034123), we get a palindrome (321432101234123).

The spelling of 321430100200000 in words is "three hundred twenty-one trillion, four hundred thirty billion, one hundred million, two hundred thousand".