330120100144100 has 108 divisors (see below), whose sum is σ = 833644403694900. Its totient is φ = 113139626745600.

The previous prime is 330120100144049. The next prime is 330120100144141. The reversal of 330120100144100 is 1441001021033.

It can be written as a sum of positive squares in 6 ways, for example, as 4245684976036 + 325874415168064 = 2060506^2 + 18051992^2 .

It is a super-2 number, since 2×330120100144100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 725171 + ... + 25705370.

Almost surely, 2^{330120100144100} 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 330120100144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416822201847450).

330120100144100 is an abundant number, since it is smaller than the sum of its proper divisors (503524303550800).

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

330120100144100 is a wasteful number, since it uses less digits than its factorization.

330120100144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26433118 (or 26433104 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 330120100144100 its reverse (1441001021033), we get a palindrome (331561101165133).

The spelling of 330120100144100 in words is "three hundred thirty trillion, one hundred twenty billion, one hundred million, one hundred forty-four thousand, one hundred".