12131112121101 has 72 divisors (see below), whose sum is σ = 18851793188904. Its totient is φ = 7514908262400.

The previous prime is 12131112121087. The next prime is 12131112121103. The reversal of 12131112121101 is 10112121113121.

12131112121101 is a `hidden beast` number, since 1 + 21 + 311 + 121 + 211 + 0 + 1 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2011364987076 + 10119747134025 = 1418226^2 + 3181155^2 .

It is not a de Polignac number, because 12131112121101 - 2⁵ = 12131112121069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131112121103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92668045 + ... + 92798861.

It is an arithmetic number, because the mean of its divisors is an integer number (261830460957).

Almost surely, 2^{12131112121101} is an apocalyptic number.

It is an amenable number.

12131112121101 is a deficient number, since it is larger than the sum of its proper divisors (6720681067803).

12131112121101 is a wasteful number, since it uses less digits than its factorization.

12131112121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131311 (or 131291 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 12131112121101 its reverse (10112121113121), we get a palindrome (22243233234222).

The spelling of 12131112121101 in words is "twelve trillion, one hundred thirty-one billion, one hundred twelve million, one hundred twenty-one thousand, one hundred one".