115200111121 has 2 divisors, whose sum is σ = 115200111122. Its totient is φ = 115200111120.

The previous prime is 115200111107. The next prime is 115200111133. The reversal of 115200111121 is 121111002511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104209524225 + 10990586896 = 322815^2 + 104836^2 .

It is a cyclic number.

It is not a de Polignac number, because 115200111121 - 2¹⁵ = 115200078353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 115200111095 and 115200111104.

It is not a weakly prime, because it can be changed into another prime (115200111101) 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, 57600055560 + 57600055561.

It is an arithmetic number, because the mean of its divisors is an integer number (57600055561).

Almost surely, 2^115200111121 is an apocalyptic number.

It is an amenable number.

115200111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

115200111121 is an equidigital number, since it uses as much as digits as its factorization.

115200111121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 16.

Adding to 115200111121 its reverse (121111002511), we get a palindrome (236311113632).

The spelling of 115200111121 in words is "one hundred fifteen billion, two hundred million, one hundred eleven thousand, one hundred twenty-one".