330101200220000 has 960 divisors, whose sum is σ = 1014104154792960. Its totient is φ = 104136192000000.

The previous prime is 330101200219993. The next prime is 330101200220003. The reversal of 330101200220000 is 22002101033.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330101200220003) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2629157225 + ... + 2629282775.

It is an arithmetic number, because the mean of its divisors is an integer number (1056358494576).

Almost surely, 2^{330101200220000} 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 330101200220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507052077396480).

330101200220000 is an abundant number, since it is smaller than the sum of its proper divisors (684002954572960).

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

330101200220000 is a wasteful number, since it uses less digits than its factorization.

330101200220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125665 (or 125642 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 330101200220000 its reverse (22002101033), we get a palindrome (330123202321033).

The spelling of 330101200220000 in words is "three hundred thirty trillion, one hundred one billion, two hundred million, two hundred twenty thousand".