12211121102201 has 32 divisors (see below), whose sum is σ = 14263581696000. Its totient is φ = 10238366666880.

The previous prime is 12211121102189. The next prime is 12211121102221. The reversal of 12211121102201 is 10220112111221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12211121102201 is a prime.

It is a super-3 number, since 3×12211121102201³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12211121102201.

It is not an unprimeable number, because it can be changed into a prime (12211121102221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31432220 + ... + 31818338.

It is an arithmetic number, because the mean of its divisors is an integer number (445736928000).

Almost surely, 2^{12211121102201} is an apocalyptic number.

It is an amenable number.

12211121102201 is a deficient number, since it is larger than the sum of its proper divisors (2052460593799).

12211121102201 is a wasteful number, since it uses less digits than its factorization.

12211121102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386709.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12211121102201 its reverse (10220112111221), we get a palindrome (22431233213422).

The spelling of 12211121102201 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, one hundred two thousand, two hundred one".