320002101311202 has 96 divisors (see below), whose sum is σ = 741521286445680. Its totient is φ = 99383176273920.

The previous prime is 320002101311201. The next prime is 320002101311261. The reversal of 320002101311202 is 202113101200023.

320002101311202 is a `hidden beast` number, since 3 + 200 + 0 + 210 + 131 + 120 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 169605014516001 + 150397086795201 = 13023249^2 + 12263649^2 .

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

It is not an unprimeable number, because it can be changed into a prime (320002101311201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22752424 + ... + 34024652.

Almost surely, 2^{320002101311202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320002101311202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370760643222840).

320002101311202 is an abundant number, since it is smaller than the sum of its proper divisors (421519185134478).

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

320002101311202 is a wasteful number, since it uses less digits than its factorization.

320002101311202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11273188 (or 11273185 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 320002101311202 its reverse (202113101200023), we get a palindrome (522115202511225).

The spelling of 320002101311202 in words is "three hundred twenty trillion, two billion, one hundred one million, three hundred eleven thousand, two hundred two".