111012257 has 2 divisors, whose sum is σ = 111012258. Its totient is φ = 111012256.

The previous prime is 111012241. The next prime is 111012259. The reversal of 111012257 is 752210111.

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., 101284096 + 9728161 = 10064^2 + 3119^2 .

It is a cyclic number.

It is not a de Polignac number, because 111012257 - 2⁴ = 111012241 is a prime.

Together with 111012259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (111012259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55506128 + 55506129.

It is an arithmetic number, because the mean of its divisors is an integer number (55506129).

Almost surely, 2^111012257 is an apocalyptic number.

It is an amenable number.

111012257 is a deficient number, since it is larger than the sum of its proper divisors (1).

111012257 is an equidigital number, since it uses as much as digits as its factorization.

111012257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 111012257 is about 10536.2354282732. The cubic root of 111012257 is about 480.6072421674.

Adding to 111012257 its reverse (752210111), we get a palindrome (863222368).

The spelling of 111012257 in words is "one hundred eleven million, twelve thousand, two hundred fifty-seven".