111012111240257 has 2 divisors, whose sum is σ = 111012111240258. Its totient is φ = 111012111240256.

The previous prime is 111012111240227. The next prime is 111012111240343. The reversal of 111012111240257 is 752042111210111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74237541086641 + 36774570153616 = 8616121^2 + 6064204^2 .

It is a cyclic number.

It is not a de Polignac number, because 111012111240257 - 2²⁴ = 111012094463041 is a prime.

It is not a weakly prime, because it can be changed into another prime (111012111240227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55506055620128 + 55506055620129.

It is an arithmetic number, because the mean of its divisors is an integer number (55506055620129).

Almost surely, 2^{111012111240257} is an apocalyptic number.

It is an amenable number.

111012111240257 is a deficient number, since it is larger than the sum of its proper divisors (1).

111012111240257 is an equidigital number, since it uses as much as digits as its factorization.

111012111240257 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 29.

Adding to 111012111240257 its reverse (752042111210111), we get a palindrome (863054222450368).

The spelling of 111012111240257 in words is "one hundred eleven trillion, twelve billion, one hundred eleven million, two hundred forty thousand, two hundred fifty-seven".