110001012210181 has 2 divisors, whose sum is σ = 110001012210182. Its totient is φ = 110001012210180.

The previous prime is 110001012210179. The next prime is 110001012210203. The reversal of 110001012210181 is 181012210100011.

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., 104591713086081 + 5409299124100 = 10227009^2 + 2325790^2 .

It is a cyclic number.

It is not a de Polignac number, because 110001012210181 - 2¹ = 110001012210179 is a prime.

It is a super-2 number, since 2×110001012210181² (a number of 29 digits) contains 22 as substring.

Together with 110001012210179, 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 (110001012210781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000506105090 + 55000506105091.

It is an arithmetic number, because the mean of its divisors is an integer number (55000506105091).

Almost surely, 2^{110001012210181} is an apocalyptic number.

It is an amenable number.

110001012210181 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001012210181 is an equidigital number, since it uses as much as digits as its factorization.

110001012210181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 110001012210181 its reverse (181012210100011), we get a palindrome (291013222310192).

The spelling of 110001012210181 in words is "one hundred ten trillion, one billion, twelve million, two hundred ten thousand, one hundred eighty-one".