12201013102131 has 128 divisors (see below), whose sum is σ = 21211979120640. Its totient is φ = 6788097644544.

The previous prime is 12201013102129. The next prime is 12201013102147. The reversal of 12201013102131 is 13120131010221.

12201013102131 is a `hidden beast` number, since 1 + 220 + 1 + 0 + 1 + 310 + 2 + 131 = 666.

It is not a de Polignac number, because 12201013102131 - 2¹ = 12201013102129 is a prime.

It is a super-2 number, since 2×12201013102131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12201013100131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 323933406 + ... + 323971068.

It is an arithmetic number, because the mean of its divisors is an integer number (165718586880).

Almost surely, 2^{12201013102131} is an apocalyptic number.

12201013102131 is a deficient number, since it is larger than the sum of its proper divisors (9010966018509).

12201013102131 is a wasteful number, since it uses less digits than its factorization.

12201013102131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38062 (or 38056 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12201013102131 its reverse (13120131010221), we get a palindrome (25321144112352).

The spelling of 12201013102131 in words is "twelve trillion, two hundred one billion, thirteen million, one hundred two thousand, one hundred thirty-one".