12122102112201 has 12 divisors (see below), whose sum is σ = 17509758170112. Its totient is φ = 8081375968536.

The previous prime is 12122102112179. The next prime is 12122102112223. The reversal of 12122102112201 is 10221120122121.

12122102112201 is a `hidden beast` number, since 1 + 21 + 2 + 210 + 211 + 220 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (12122102112179) and next prime (12122102112223).

It is not a de Polignac number, because 12122102112201 - 2³⁰ = 12121028370377 is a prime.

It is a super-3 number, since 3×12122102112201³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12122102112271) 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 11 ways as a sum of consecutive naturals, for example, 1165960 + ... + 5060006.

It is an arithmetic number, because the mean of its divisors is an integer number (1459146514176).

Almost surely, 2^{12122102112201} is an apocalyptic number.

It is an amenable number.

12122102112201 is a deficient number, since it is larger than the sum of its proper divisors (5387656057911).

12122102112201 is a wasteful number, since it uses less digits than its factorization.

12122102112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239940 (or 4239937 counting only the distinct ones).

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

Adding to 12122102112201 its reverse (10221120122121), we get a palindrome (22343222234322).

The spelling of 12122102112201 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, one hundred twelve thousand, two hundred one".