12211100201133 has 12 divisors (see below), whose sum is σ = 17879875790140. Its totient is φ = 8029216570176.

The previous prime is 12211100201123. The next prime is 12211100201147. The reversal of 12211100201133 is 33110200111221.

12211100201133 is a `hidden beast` number, since 1 + 221 + 110 + 0 + 201 + 133 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3130840058724 + 9080260142409 = 1769418^2 + 3013347^2 .

It is not a de Polignac number, because 12211100201133 - 2⁴ = 12211100201117 is a prime.

It is a super-2 number, since 2×12211100201133² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211100201123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9293074078 + ... + 9293075391.

Almost surely, 2^{12211100201133} is an apocalyptic number.

It is an amenable number.

12211100201133 is a deficient number, since it is larger than the sum of its proper divisors (5668775589007).

12211100201133 is a wasteful number, since it uses less digits than its factorization.

12211100201133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18586149548 (or 18586149545 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12211100201133 its reverse (33110200111221), we get a palindrome (45321300312354).

The spelling of 12211100201133 in words is "twelve trillion, two hundred eleven billion, one hundred million, two hundred one thousand, one hundred thirty-three".