125418941215201 has 2 divisors, whose sum is σ = 125418941215202. Its totient is φ = 125418941215200.

The previous prime is 125418941215199. The next prime is 125418941215207. The reversal of 125418941215201 is 102512149814521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87211411077025 + 38207530138176 = 9338705^2 + 6181224^2 .

It is an emirp because it is prime and its reverse (102512149814521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 125418941215201 - 2¹ = 125418941215199 is a prime.

Together with 125418941215199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (125418941215207) 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, 62709470607600 + 62709470607601.

It is an arithmetic number, because the mean of its divisors is an integer number (62709470607601).

Almost surely, 2^{125418941215201} is an apocalyptic number.

It is an amenable number.

125418941215201 is a deficient number, since it is larger than the sum of its proper divisors (1).

125418941215201 is an equidigital number, since it uses as much as digits as its factorization.

125418941215201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 230400, while the sum is 46.

The spelling of 125418941215201 in words is "one hundred twenty-five trillion, four hundred eighteen billion, nine hundred forty-one million, two hundred fifteen thousand, two hundred one".