12133002100 has 36 divisors (see below), whose sum is σ = 26561635884. Its totient is φ = 4810247680.

The previous prime is 12133002047. The next prime is 12133002109. The reversal of 12133002100 is 120033121.

It can be written as a sum of positive squares in 6 ways, for example, as 4521486564 + 7611515536 = 67242^2 + 87244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133002109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525559 + ... + 548158.

It is an arithmetic number, because the mean of its divisors is an integer number (737823219).

Almost surely, 2^12133002100 is an apocalyptic number.

12133002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133002100 is an abundant number, since it is smaller than the sum of its proper divisors (14428633784).

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

12133002100 is a wasteful number, since it uses less digits than its factorization.

12133002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073844 (or 1073837 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12133002100 its reverse (120033121), we get a palindrome (12253035221).

The spelling of 12133002100 in words is "twelve billion, one hundred thirty-three million, two thousand, one hundred".