111122021134561 has 2 divisors, whose sum is σ = 111122021134562. Its totient is φ = 111122021134560.

The previous prime is 111122021134519. The next prime is 111122021134567. The reversal of 111122021134561 is 165431120221111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76114457409600 + 35007563724961 = 8724360^2 + 5916719^2 .

It is a cyclic number.

It is not a de Polignac number, because 111122021134561 - 2⁹ = 111122021134049 is a prime.

It is not a weakly prime, because it can be changed into another prime (111122021134567) 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, 55561010567280 + 55561010567281.

It is an arithmetic number, because the mean of its divisors is an integer number (55561010567281).

Almost surely, 2^{111122021134561} is an apocalyptic number.

It is an amenable number.

111122021134561 is a deficient number, since it is larger than the sum of its proper divisors (1).

111122021134561 is an equidigital number, since it uses as much as digits as its factorization.

111122021134561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 31.

Adding to 111122021134561 its reverse (165431120221111), we get a palindrome (276553141355672).

The spelling of 111122021134561 in words is "one hundred eleven trillion, one hundred twenty-two billion, twenty-one million, one hundred thirty-four thousand, five hundred sixty-one".