102300224130001 has 2 divisors, whose sum is σ = 102300224130002. Its totient is φ = 102300224130000.

The previous prime is 102300224129959. The next prime is 102300224130007. The reversal of 102300224130001 is 100031422003201.

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., 69590231989776 + 32709992140225 = 8342076^2 + 5719265^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102300224130001 is a prime.

It is not a weakly prime, because it can be changed into another prime (102300224130007) 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, 51150112065000 + 51150112065001.

It is an arithmetic number, because the mean of its divisors is an integer number (51150112065001).

Almost surely, 2^{102300224130001} is an apocalyptic number.

It is an amenable number.

102300224130001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102300224130001 is an equidigital number, since it uses as much as digits as its factorization.

102300224130001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102300224130001 its reverse (100031422003201), we get a palindrome (202331646133202).

The spelling of 102300224130001 in words is "one hundred two trillion, three hundred billion, two hundred twenty-four million, one hundred thirty thousand, one".