111012111230257 has 2 divisors, whose sum is σ = 111012111230258. Its totient is φ = 111012111230256.

The previous prime is 111012111230201. The next prime is 111012111230281. The reversal of 111012111230257 is 752032111210111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105465690583201 + 5546420647056 = 10269649^2 + 2355084^2 .

It is a cyclic number.

It is not a de Polignac number, because 111012111230257 - 2¹¹ = 111012111228209 is a prime.

It is not a weakly prime, because it can be changed into another prime (111012111240257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55506055615128 + 55506055615129.

It is an arithmetic number, because the mean of its divisors is an integer number (55506055615129).

Almost surely, 2^{111012111230257} is an apocalyptic number.

It is an amenable number.

111012111230257 is a deficient number, since it is larger than the sum of its proper divisors (1).

111012111230257 is an equidigital number, since it uses as much as digits as its factorization.

111012111230257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 28.

Adding to 111012111230257 its reverse (752032111210111), we get a palindrome (863044222440368).

The spelling of 111012111230257 in words is "one hundred eleven trillion, twelve billion, one hundred eleven million, two hundred thirty thousand, two hundred fifty-seven".