111120111122081 has 2 divisors, whose sum is σ = 111120111122082. Its totient is φ = 111120111122080.

The previous prime is 111120111121963. The next prime is 111120111122177. The reversal of 111120111122081 is 180221111021111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79211068003600 + 31909043118481 = 8900060^2 + 5648809^2 .

It is a cyclic number.

It is not a de Polignac number, because 111120111122081 - 2⁴⁶ = 40751366944417 is a prime.

It is a super-2 number, since 2×111120111122081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111120111121081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55560055561040 + 55560055561041.

It is an arithmetic number, because the mean of its divisors is an integer number (55560055561041).

Almost surely, 2^{111120111122081} is an apocalyptic number.

It is an amenable number.

111120111122081 is a deficient number, since it is larger than the sum of its proper divisors (1).

111120111122081 is an equidigital number, since it uses as much as digits as its factorization.

111120111122081 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 23.

Adding to 111120111122081 its reverse (180221111021111), we get a palindrome (291341222143192).

The spelling of 111120111122081 in words is "one hundred eleven trillion, one hundred twenty billion, one hundred eleven million, one hundred twenty-two thousand, eighty-one".