330242012402100 has 144 divisors (see below), whose sum is σ = 957041113990080. Its totient is φ = 87922534809600.

The previous prime is 330242012402069. The next prime is 330242012402167. The reversal of 330242012402100 is 1204210242033.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4372812340 + ... + 4372887860.

Almost surely, 2^{330242012402100} is an apocalyptic number.

330242012402100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330242012402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478520556995040).

330242012402100 is an abundant number, since it is smaller than the sum of its proper divisors (626799101587980).

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

330242012402100 is a wasteful number, since it uses less digits than its factorization.

330242012402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98850 (or 98843 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 330242012402100 its reverse (1204210242033), we get a palindrome (331446222644133).

The spelling of 330242012402100 in words is "three hundred thirty trillion, two hundred forty-two billion, twelve million, four hundred two thousand, one hundred".