12100133210301 has 40 divisors (see below), whose sum is σ = 18792765552000. Its totient is φ = 7749452541600.

The previous prime is 12100133210299. The next prime is 12100133210303. The reversal of 12100133210301 is 10301233100121.

12100133210301 is a `hidden beast` number, since 1 + 21 + 0 + 0 + 1 + 332 + 10 + 301 = 666.

It is an interprime number because it is at equal distance from previous prime (12100133210299) and next prime (12100133210303).

It is not a de Polignac number, because 12100133210301 - 2¹ = 12100133210299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100133210303) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12475225 + ... + 13410126.

It is an arithmetic number, because the mean of its divisors is an integer number (469819138800).

Almost surely, 2^{12100133210301} is an apocalyptic number.

It is an amenable number.

12100133210301 is a deficient number, since it is larger than the sum of its proper divisors (6692632341699).

12100133210301 is a wasteful number, since it uses less digits than its factorization.

12100133210301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25885591 (or 25885582 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12100133210301 its reverse (10301233100121), we get a palindrome (22401366310422).

The spelling of 12100133210301 in words is "twelve trillion, one hundred billion, one hundred thirty-three million, two hundred ten thousand, three hundred one".