112100010311257 has 2 divisors, whose sum is σ = 112100010311258. Its totient is φ = 112100010311256.

The previous prime is 112100010311227. The next prime is 112100010311309. The reversal of 112100010311257 is 752113010001211.

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., 107709858128896 + 4390152182361 = 10378336^2 + 2095269^2 .

It is a cyclic number.

It is not a de Polignac number, because 112100010311257 - 2¹⁵ = 112100010278489 is a prime.

It is not a weakly prime, because it can be changed into another prime (112100010311227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050005155628 + 56050005155629.

It is an arithmetic number, because the mean of its divisors is an integer number (56050005155629).

Almost surely, 2^{112100010311257} is an apocalyptic number.

It is an amenable number.

112100010311257 is a deficient number, since it is larger than the sum of its proper divisors (1).

112100010311257 is an equidigital number, since it uses as much as digits as its factorization.

112100010311257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 25.

Adding to 112100010311257 its reverse (752113010001211), we get a palindrome (864213020312468).

The spelling of 112100010311257 in words is "one hundred twelve trillion, one hundred billion, ten million, three hundred eleven thousand, two hundred fifty-seven".