115085827121 has 2 divisors, whose sum is σ = 115085827122. Its totient is φ = 115085827120.

The previous prime is 115085827079. The next prime is 115085827139. The reversal of 115085827121 is 121728580511.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106015360000 + 9070467121 = 325600^2 + 95239^2 .

It is a cyclic number.

It is not a de Polignac number, because 115085827121 - 2⁶ = 115085827057 is a prime.

It is not a weakly prime, because it can be changed into another prime (115085827151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57542913560 + 57542913561.

It is an arithmetic number, because the mean of its divisors is an integer number (57542913561).

Almost surely, 2^115085827121 is an apocalyptic number.

It is an amenable number.

115085827121 is a deficient number, since it is larger than the sum of its proper divisors (1).

115085827121 is an equidigital number, since it uses as much as digits as its factorization.

115085827121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44800, while the sum is 41.

The spelling of 115085827121 in words is "one hundred fifteen billion, eighty-five million, eight hundred twenty-seven thousand, one hundred twenty-one".