10112211210181 has 2 divisors, whose sum is σ = 10112211210182. Its totient is φ = 10112211210180.

The previous prime is 10112211210173. The next prime is 10112211210221. The reversal of 10112211210181 is 18101211221101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8842499165956 + 1269712044225 = 2973634^2 + 1126815^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112211210181 - 2³ = 10112211210173 is a prime.

It is a super-2 number, since 2×10112211210181² (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 (10112211210161) 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, 5056105605090 + 5056105605091.

It is an arithmetic number, because the mean of its divisors is an integer number (5056105605091).

Almost surely, 2^{10112211210181} is an apocalyptic number.

It is an amenable number.

10112211210181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112211210181 is an equidigital number, since it uses as much as digits as its factorization.

10112211210181 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 22.

Adding to 10112211210181 its reverse (18101211221101), we get a palindrome (28213422431282).

The spelling of 10112211210181 in words is "ten trillion, one hundred twelve billion, two hundred eleven million, two hundred ten thousand, one hundred eighty-one".