230031011121101 has 2 divisors, whose sum is σ = 230031011121102. Its totient is φ = 230031011121100.

The previous prime is 230031011121019. The next prime is 230031011121103. The reversal of 230031011121101 is 101121110130032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138871022766025 + 91159988355076 = 11784355^2 + 9547774^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-230031011121101 is a prime.

Together with 230031011121103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 230031011121101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (230031011121103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115015505560550 + 115015505560551.

It is an arithmetic number, because the mean of its divisors is an integer number (115015505560551).

Almost surely, 2^{230031011121101} is an apocalyptic number.

It is an amenable number.

230031011121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

230031011121101 is an equidigital number, since it uses as much as digits as its factorization.

230031011121101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 230031011121101 its reverse (101121110130032), we get a palindrome (331152121251133).

The spelling of 230031011121101 in words is "two hundred thirty trillion, thirty-one billion, eleven million, one hundred twenty-one thousand, one hundred one".