112221021257 has 2 divisors, whose sum is σ = 112221021258. Its totient is φ = 112221021256.

The previous prime is 112221021193. The next prime is 112221021259. The reversal of 112221021257 is 752120122211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82976259136 + 29244762121 = 288056^2 + 171011^2 .

It is a cyclic number.

It is not a de Polignac number, because 112221021257 - 2⁶ = 112221021193 is a prime.

It is a super-2 number, since 2×112221021257² (a number of 23 digits) contains 22 as substring.

Together with 112221021259, 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 (112221021259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56110510628 + 56110510629.

It is an arithmetic number, because the mean of its divisors is an integer number (56110510629).

Almost surely, 2^112221021257 is an apocalyptic number.

It is an amenable number.

112221021257 is a deficient number, since it is larger than the sum of its proper divisors (1).

112221021257 is an equidigital number, since it uses as much as digits as its factorization.

112221021257 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 26.

Adding to 112221021257 its reverse (752120122211), we get a palindrome (864341143468).

The spelling of 112221021257 in words is "one hundred twelve billion, two hundred twenty-one million, twenty-one thousand, two hundred fifty-seven".