12211301212101 has 32 divisors (see below), whose sum is σ = 18224607191040. Its totient is φ = 8080744518000.

The previous prime is 12211301212079. The next prime is 12211301212237. The reversal of 12211301212101 is 10121210311221.

It is a happy number.

12211301212101 is a `hidden beast` number, since 1 + 221 + 130 + 1 + 212 + 101 = 666.

It is not a de Polignac number, because 12211301212101 - 2¹³ = 12211301203909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211301212001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4162996 + ... + 6461666.

It is an arithmetic number, because the mean of its divisors is an integer number (569518974720).

Almost surely, 2^{12211301212101} is an apocalyptic number.

It is an amenable number.

12211301212101 is a deficient number, since it is larger than the sum of its proper divisors (6013305978939).

12211301212101 is a wasteful number, since it uses less digits than its factorization.

12211301212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300134 (or 2300128 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12211301212101 its reverse (10121210311221), we get a palindrome (22332511523322).

The spelling of 12211301212101 in words is "twelve trillion, two hundred eleven billion, three hundred one million, two hundred twelve thousand, one hundred one".