100301222102113 has 2 divisors, whose sum is σ = 100301222102114. Its totient is φ = 100301222102112.

The previous prime is 100301222102111. The next prime is 100301222102119. The reversal of 100301222102113 is 311201222103001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90346868979409 + 9954353122704 = 9505097^2 + 3155052^2 .

It is a cyclic number.

It is not a de Polignac number, because 100301222102113 - 2¹ = 100301222102111 is a prime.

Together with 100301222102111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100301222102111) 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, 50150611051056 + 50150611051057.

It is an arithmetic number, because the mean of its divisors is an integer number (50150611051057).

Almost surely, 2^{100301222102113} is an apocalyptic number.

It is an amenable number.

100301222102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100301222102113 is an equidigital number, since it uses as much as digits as its factorization.

100301222102113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100301222102113 its reverse (311201222103001), we get a palindrome (411502444205114).

The spelling of 100301222102113 in words is "one hundred trillion, three hundred one billion, two hundred twenty-two million, one hundred two thousand, one hundred thirteen".