4133240102100 has 144 divisors (see below), whose sum is σ = 12039764405760. Its totient is φ = 1094764156800.

The previous prime is 4133240102009. The next prime is 4133240102111. The reversal of 4133240102100 is 12010423314.

4133240102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26325631 + ... + 26482169.

It is an arithmetic number, because the mean of its divisors is an integer number (83609475040).

Almost surely, 2^{4133240102100} 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 4133240102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6019882202880).

4133240102100 is an abundant number, since it is smaller than the sum of its proper divisors (7906524303660).

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

4133240102100 is a wasteful number, since it uses less digits than its factorization.

4133240102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157150 (or 157143 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 4133240102100 its reverse (12010423314), we get a palindrome (4145250525414).

The spelling of 4133240102100 in words is "four trillion, one hundred thirty-three billion, two hundred forty million, one hundred two thousand, one hundred".