12201121222101 has 48 divisors (see below), whose sum is σ = 20235523920768. Its totient is φ = 6939588902400.

The previous prime is 12201121222097. The next prime is 12201121222109. The reversal of 12201121222101 is 10122212110221.

12201121222101 is a `hidden beast` number, since 1 + 220 + 1 + 121 + 222 + 101 = 666.

It is not a de Polignac number, because 12201121222101 - 2² = 12201121222097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201121222109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15676681 + ... + 16436561.

It is an arithmetic number, because the mean of its divisors is an integer number (421573415016).

Almost surely, 2^{12201121222101} is an apocalyptic number.

It is an amenable number.

12201121222101 is a deficient number, since it is larger than the sum of its proper divisors (8034402698667).

12201121222101 is a wasteful number, since it uses less digits than its factorization.

12201121222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761082 (or 761079 counting only the distinct ones).

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

Adding to 12201121222101 its reverse (10122212110221), we get a palindrome (22323333332322).

The spelling of 12201121222101 in words is "twelve trillion, two hundred one billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred one".