12133244102100 has 576 divisors, whose sum is σ = 40878083635200. Its totient is φ = 2746023526400.

The previous prime is 12133244102087. The next prime is 12133244102173. The reversal of 12133244102100 is 120144233121.

It is a super-2 number, since 2×12133244102100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 5780486851 + ... + 5780488949.

It is an arithmetic number, because the mean of its divisors is an integer number (70968895200).

Almost surely, 2^{12133244102100} is an apocalyptic number.

12133244102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133244102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20439041817600).

12133244102100 is an abundant number, since it is smaller than the sum of its proper divisors (28744839533100).

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

12133244102100 is a wasteful number, since it uses less digits than its factorization.

12133244102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12133244102100 its reverse (120144233121), we get a palindrome (12253388335221).

The spelling of 12133244102100 in words is "twelve trillion, one hundred thirty-three billion, two hundred forty-four million, one hundred two thousand, one hundred".