2011222113181 has 2 divisors, whose sum is σ = 2011222113182. Its totient is φ = 2011222113180.

The previous prime is 2011222113107. The next prime is 2011222113191. The reversal of 2011222113181 is 1813112221102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1974839984100 + 36382129081 = 1405290^2 + 190741^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011222113181 - 2³⁷ = 1873783159709 is a prime.

It is a super-2 number, since 2×2011222113181² (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 (2011222113191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005611056590 + 1005611056591.

It is an arithmetic number, because the mean of its divisors is an integer number (1005611056591).

Almost surely, 2^{2011222113181} is an apocalyptic number.

It is an amenable number.

2011222113181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011222113181 is an equidigital number, since it uses as much as digits as its factorization.

2011222113181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 25.

Adding to 2011222113181 its reverse (1813112221102), we get a palindrome (3824334334283).

The spelling of 2011222113181 in words is "two trillion, eleven billion, two hundred twenty-two million, one hundred thirteen thousand, one hundred eighty-one".