12201222112101 has 96 divisors (see below), whose sum is σ = 20557312473600. Its totient is φ = 7138421136000.

The previous prime is 12201222112087. The next prime is 12201222112103. The reversal of 12201222112101 is 10121122210221.

12201222112101 is a `hidden beast` number, since 1 + 220 + 1 + 22 + 211 + 210 + 1 = 666.

It is not a de Polignac number, because 12201222112101 - 2¹⁹ = 12201221587813 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201222112103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 938043940 + ... + 938056946.

It is an arithmetic number, because the mean of its divisors is an integer number (214138671600).

Almost surely, 2^{12201222112101} is an apocalyptic number.

12201222112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12201222112101 is a deficient number, since it is larger than the sum of its proper divisors (8356090361499).

12201222112101 is a wasteful number, since it uses less digits than its factorization.

12201222112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22968 (or 22951 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12201222112101 its reverse (10121122210221), we get a palindrome (22322344322322).

The spelling of 12201222112101 in words is "twelve trillion, two hundred one billion, two hundred twenty-two million, one hundred twelve thousand, one hundred one".