111011221022257 has 2 divisors, whose sum is σ = 111011221022258. Its totient is φ = 111011221022256.

The previous prime is 111011221022209. The next prime is 111011221022269. The reversal of 111011221022257 is 752220122110111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80075365898256 + 30935855124001 = 8948484^2 + 5562001^2 .

It is a cyclic number.

It is not a de Polignac number, because 111011221022257 - 2⁷ = 111011221022129 is a prime.

It is not a weakly prime, because it can be changed into another prime (111011221022287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505610511128 + 55505610511129.

It is an arithmetic number, because the mean of its divisors is an integer number (55505610511129).

Almost surely, 2^{111011221022257} is an apocalyptic number.

It is an amenable number.

111011221022257 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011221022257 is an equidigital number, since it uses as much as digits as its factorization.

111011221022257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1120, while the sum is 28.

Adding to 111011221022257 its reverse (752220122110111), we get a palindrome (863231343132368).

The spelling of 111011221022257 in words is "one hundred eleven trillion, eleven billion, two hundred twenty-one million, twenty-two thousand, two hundred fifty-seven".