100301521005001 has 2 divisors, whose sum is σ = 100301521005002. Its totient is φ = 100301521005000.

The previous prime is 100301521004999. The next prime is 100301521005139. The reversal of 100301521005001 is 100500125103001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66833502630976 + 33468018374025 = 8175176^2 + 5785155^2 .

It is a cyclic number.

It is not a de Polignac number, because 100301521005001 - 2¹ = 100301521004999 is a prime.

Together with 100301521004999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 100301521005001.

It is not a weakly prime, because it can be changed into another prime (100301521005601) 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, 50150760502500 + 50150760502501.

It is an arithmetic number, because the mean of its divisors is an integer number (50150760502501).

Almost surely, 2^{100301521005001} is an apocalyptic number.

It is an amenable number.

100301521005001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100301521005001 is an equidigital number, since it uses as much as digits as its factorization.

100301521005001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 100301521005001 its reverse (100500125103001), we get a palindrome (200801646108002).

The spelling of 100301521005001 in words is "one hundred trillion, three hundred one billion, five hundred twenty-one million, five thousand, one".