330112200133100 has 216 divisors, whose sum is σ = 902376171728640. Its totient is φ = 102605497315200.

The previous prime is 330112200132983. The next prime is 330112200133103. The reversal of 330112200133100 is 1331002211033.

It is a super-2 number, since 2×330112200133100² (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 not an unprimeable number, because it can be changed into a prime (330112200133103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24979127 + ... + 35835473.

Almost surely, 2^{330112200133100} 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 330112200133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451188085864320).

330112200133100 is an abundant number, since it is smaller than the sum of its proper divisors (572263971595540).

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

330112200133100 is a wasteful number, since it uses less digits than its factorization.

330112200133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10856749 (or 10856731 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 330112200133100 its reverse (1331002211033), we get a palindrome (331443202344133).

The spelling of 330112200133100 in words is "three hundred thirty trillion, one hundred twelve billion, two hundred million, one hundred thirty-three thousand, one hundred".