22110002112181 has 2 divisors, whose sum is σ = 22110002112182. Its totient is φ = 22110002112180.

The previous prime is 22110002112179. The next prime is 22110002112217. The reversal of 22110002112181 is 18121120001122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21317002957156 + 792999155025 = 4617034^2 + 890505^2 .

It is a cyclic number.

It is not a de Polignac number, because 22110002112181 - 2¹ = 22110002112179 is a prime.

It is a super-2 number, since 2×22110002112181² (a number of 27 digits) contains 22 as substring.

Together with 22110002112179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22110002112151) 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, 11055001056090 + 11055001056091.

It is an arithmetic number, because the mean of its divisors is an integer number (11055001056091).

Almost surely, 2^{22110002112181} is an apocalyptic number.

It is an amenable number.

22110002112181 is a deficient number, since it is larger than the sum of its proper divisors (1).

22110002112181 is an equidigital number, since it uses as much as digits as its factorization.

22110002112181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 22.

The spelling of 22110002112181 in words is "twenty-two trillion, one hundred ten billion, two million, one hundred twelve thousand, one hundred eighty-one".