221102201100181 has 2 divisors, whose sum is σ = 221102201100182. Its totient is φ = 221102201100180.

The previous prime is 221102201100173. The next prime is 221102201100203. The reversal of 221102201100181 is 181001102201122.

It is a happy number.

It is an a-pointer prime, because the next prime (221102201100203) can be obtained adding 221102201100181 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220815617537956 + 286583562225 = 14859866^2 + 535335^2 .

It is a cyclic number.

It is not a de Polignac number, because 221102201100181 - 2³ = 221102201100173 is a prime.

It is a super-2 number, since 2×221102201100181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221102201100881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110551100550090 + 110551100550091.

It is an arithmetic number, because the mean of its divisors is an integer number (110551100550091).

Almost surely, 2^{221102201100181} is an apocalyptic number.

It is an amenable number.

221102201100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

221102201100181 is an equidigital number, since it uses as much as digits as its factorization.

221102201100181 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 221102201100181 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred one million, one hundred thousand, one hundred eighty-one".