333120012100 has 72 divisors (see below), whose sum is σ = 741868142400. Its totient is φ = 129787574400.

The previous prime is 333120012079. The next prime is 333120012107. The reversal of 333120012100 is 1210021333.

It is a super-2 number, since 2×333120012100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (333120012107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384105 + ... + 902095.

It is an arithmetic number, because the mean of its divisors is an integer number (10303724200).

Almost surely, 2^333120012100 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 333120012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370934071200).

333120012100 is an abundant number, since it is smaller than the sum of its proper divisors (408748130300).

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

333120012100 is a wasteful number, since it uses less digits than its factorization.

333120012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518173 (or 518166 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 333120012100 its reverse (1210021333), we get a palindrome (334330033433).

The spelling of 333120012100 in words is "three hundred thirty-three billion, one hundred twenty million, twelve thousand, one hundred".