2111201110181 has 2 divisors, whose sum is σ = 2111201110182. Its totient is φ = 2111201110180.

The previous prime is 2111201110159. The next prime is 2111201110201. The reversal of 2111201110181 is 1810111021112.

It is an a-pointer prime, because the next prime (2111201110201) can be obtained adding 2111201110181 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1109790613156 + 1001410497025 = 1053466^2 + 1000705^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111201110181 - 2¹⁴ = 2111201093797 is a prime.

It is a super-2 number, since 2×2111201110181² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111201100181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055600555090 + 1055600555091.

It is an arithmetic number, because the mean of its divisors is an integer number (1055600555091).

Almost surely, 2^{2111201110181} is an apocalyptic number.

It is an amenable number.

2111201110181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111201110181 is an equidigital number, since it uses as much as digits as its factorization.

2111201110181 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 20.

Adding to 2111201110181 its reverse (1810111021112), we get a palindrome (3921312131293).

The spelling of 2111201110181 in words is "two trillion, one hundred eleven billion, two hundred one million, one hundred ten thousand, one hundred eighty-one".