112641285121 has 2 divisors, whose sum is σ = 112641285122. Its totient is φ = 112641285120.

The previous prime is 112641285079. The next prime is 112641285139. The reversal of 112641285121 is 121582146211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94058142721 + 18583142400 = 306689^2 + 136320^2 .

It is a cyclic number.

It is not a de Polignac number, because 112641285121 - 2²³ = 112632896513 is a prime.

It is a super-2 number, since 2×112641285121² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112641283121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56320642560 + 56320642561.

It is an arithmetic number, because the mean of its divisors is an integer number (56320642561).

Almost surely, 2^112641285121 is an apocalyptic number.

It is an amenable number.

112641285121 is a deficient number, since it is larger than the sum of its proper divisors (1).

112641285121 is an equidigital number, since it uses as much as digits as its factorization.

112641285121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7680, while the sum is 34.

The spelling of 112641285121 in words is "one hundred twelve billion, six hundred forty-one million, two hundred eighty-five thousand, one hundred twenty-one".