12210022102181 has 2 divisors, whose sum is σ = 12210022102182. Its totient is φ = 12210022102180.

The previous prime is 12210022102067. The next prime is 12210022102249. The reversal of 12210022102181 is 18120122001221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10275166140100 + 1934855962081 = 3205490^2 + 1390991^2 .

It is an emirp because it is prime and its reverse (18120122001221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12210022102181 - 2²² = 12210017907877 is a prime.

It is a super-4 number, since 4×12210022102181⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12210022105181) 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 as a sum of consecutive naturals, namely, 6105011051090 + 6105011051091.

It is an arithmetic number, because the mean of its divisors is an integer number (6105011051091).

Almost surely, 2^{12210022102181} is an apocalyptic number.

It is an amenable number.

12210022102181 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210022102181 is an equidigital number, since it uses as much as digits as its factorization.

12210022102181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 23.

The spelling of 12210022102181 in words is "twelve trillion, two hundred ten billion, twenty-two million, one hundred two thousand, one hundred eighty-one".