2011102212181 has 2 divisors, whose sum is σ = 2011102212182. Its totient is φ = 2011102212180.

The previous prime is 2011102212157. The next prime is 2011102212271. The reversal of 2011102212181 is 1812122011102.

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., 1179376452081 + 831725760100 = 1085991^2 + 911990^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011102212181 - 2⁹ = 2011102211669 is a prime.

It is a super-2 number, since 2×2011102212181² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011102212151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005551106090 + 1005551106091.

It is an arithmetic number, because the mean of its divisors is an integer number (1005551106091).

Almost surely, 2^{2011102212181} is an apocalyptic number.

It is an amenable number.

2011102212181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011102212181 is an equidigital number, since it uses as much as digits as its factorization.

2011102212181 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.

Adding to 2011102212181 its reverse (1812122011102), we get a palindrome (3823224223283).

The spelling of 2011102212181 in words is "two trillion, eleven billion, one hundred two million, two hundred twelve thousand, one hundred eighty-one".