112111012212257 has 2 divisors, whose sum is σ = 112111012212258. Its totient is φ = 112111012212256.

The previous prime is 112111012212217. The next prime is 112111012212317. The reversal of 112111012212257 is 752212210111211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108127471246096 + 3983540966161 = 10398436^2 + 1995881^2 .

It is a cyclic number.

It is not a de Polignac number, because 112111012212257 - 2³⁰ = 112109938470433 is a prime.

It is not a weakly prime, because it can be changed into another prime (112111012212217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56055506106128 + 56055506106129.

It is an arithmetic number, because the mean of its divisors is an integer number (56055506106129).

Almost surely, 2^{112111012212257} is an apocalyptic number.

It is an amenable number.

112111012212257 is a deficient number, since it is larger than the sum of its proper divisors (1).

112111012212257 is an equidigital number, since it uses as much as digits as its factorization.

112111012212257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 29.

Adding to 112111012212257 its reverse (752212210111211), we get a palindrome (864323222323468).

The spelling of 112111012212257 in words is "one hundred twelve trillion, one hundred eleven billion, twelve million, two hundred twelve thousand, two hundred fifty-seven".