22100001210181 has 2 divisors, whose sum is σ = 22100001210182. Its totient is φ = 22100001210180.

The previous prime is 22100001210139. The next prime is 22100001210223. The reversal of 22100001210181 is 18101210000122.

It is a balanced prime because it is at equal distance from previous prime (22100001210139) and next prime (22100001210223).

It can be written as a sum of positive squares in only one way, i.e., 18179640810081 + 3920360400100 = 4263759^2 + 1979990^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100001210181 - 2³⁷ = 21962562256709 is a prime.

It is a super-2 number, since 2×22100001210181² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22100001270181) 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, 11050000605090 + 11050000605091.

It is an arithmetic number, because the mean of its divisors is an integer number (11050000605091).

Almost surely, 2^{22100001210181} is an apocalyptic number.

It is an amenable number.

22100001210181 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100001210181 is an equidigital number, since it uses as much as digits as its factorization.

22100001210181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

The spelling of 22100001210181 in words is "twenty-two trillion, one hundred billion, one million, two hundred ten thousand, one hundred eighty-one".