112131121012217 has 2 divisors, whose sum is σ = 112131121012218. Its totient is φ = 112131121012216.

The previous prime is 112131121012201. The next prime is 112131121012279. The reversal of 112131121012217 is 712210121131211.

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., 99945827338681 + 12185293673536 = 9997291^2 + 3490744^2 .

It is a cyclic number.

It is not a de Polignac number, because 112131121012217 - 2⁴ = 112131121012201 is a prime.

It is not a weakly prime, because it can be changed into another prime (112131121017217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56065560506108 + 56065560506109.

It is an arithmetic number, because the mean of its divisors is an integer number (56065560506109).

Almost surely, 2^{112131121012217} is an apocalyptic number.

It is an amenable number.

112131121012217 is a deficient number, since it is larger than the sum of its proper divisors (1).

112131121012217 is an equidigital number, since it uses as much as digits as its factorization.

112131121012217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 26.

Adding to 112131121012217 its reverse (712210121131211), we get a palindrome (824341242143428).

The spelling of 112131121012217 in words is "one hundred twelve trillion, one hundred thirty-one billion, one hundred twenty-one million, twelve thousand, two hundred seventeen".