330121100002122 has 256 divisors, whose sum is σ = 865650711744000. Its totient is φ = 91935313459200.

The previous prime is 330121100002081. The next prime is 330121100002139. The reversal of 330121100002122 is 221200001121033.

330121100002122 is a `hidden beast` number, since 330 + 1 + 21 + 100 + 0 + 0 + 212 + 2 = 666.

It is a super-2 number, since 2×330121100002122² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 330121100002095 and 330121100002104.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3076306204 + ... + 3076413512.

It is an arithmetic number, because the mean of its divisors is an integer number (3381448092750).

Almost surely, 2^{330121100002122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330121100002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432825355872000).

330121100002122 is an abundant number, since it is smaller than the sum of its proper divisors (535529611741878).

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

330121100002122 is a wasteful number, since it uses less digits than its factorization.

330121100002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109094 (or 109088 counting only the distinct ones).

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

Adding to 330121100002122 its reverse (221200001121033), we get a palindrome (551321101123155).

The spelling of 330121100002122 in words is "three hundred thirty trillion, one hundred twenty-one billion, one hundred million, two thousand, one hundred twenty-two".