111011111222161 has 2 divisors, whose sum is σ = 111011111222162. Its totient is φ = 111011111222160.

The previous prime is 111011111222087. The next prime is 111011111222201. The reversal of 111011111222161 is 161222111110111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111006368833936 + 4742388225 = 10535956^2 + 68865^2 .

It is a cyclic number.

It is not a de Polignac number, because 111011111222161 - 2²¹ = 111011109125009 is a prime.

It is a super-2 number, since 2×111011111222161² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111011111222461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505555611080 + 55505555611081.

It is an arithmetic number, because the mean of its divisors is an integer number (55505555611081).

Almost surely, 2^{111011111222161} is an apocalyptic number.

It is an amenable number.

111011111222161 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011111222161 is an equidigital number, since it uses as much as digits as its factorization.

111011111222161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 22.

Adding to 111011111222161 its reverse (161222111110111), we get a palindrome (272233222332272).

The spelling of 111011111222161 in words is "one hundred eleven trillion, eleven billion, one hundred eleven million, two hundred twenty-two thousand, one hundred sixty-one".