3023033100100 has 144 divisors (see below), whose sum is σ = 7258746066768. Its totient is φ = 1085548124160.

The previous prime is 3023033100083. The next prime is 3023033100107. The reversal of 3023033100100 is 10013303203.

It can be written as a sum of positive squares in 24 ways, for example, as 2700211405824 + 322821694276 = 1643232^2 + 568174^2 .

It is not an unprimeable number, because it can be changed into a prime (3023033100107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 119131014 + ... + 119156386.

It is an arithmetic number, because the mean of its divisors is an integer number (50407958797).

Almost surely, 2^{3023033100100} 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 3023033100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629373033384).

3023033100100 is an abundant number, since it is smaller than the sum of its proper divisors (4235712966668).

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

3023033100100 is a wasteful number, since it uses less digits than its factorization.

3023033100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27914 (or 27907 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 3023033100100 its reverse (10013303203), we get a palindrome (3033046403303).

The spelling of 3023033100100 in words is "three trillion, twenty-three billion, thirty-three million, one hundred thousand, one hundred".