100103103013301 has 2 divisors, whose sum is σ = 100103103013302. Its totient is φ = 100103103013300.

The previous prime is 100103103013241. The next prime is 100103103013373. The reversal of 100103103013301 is 103310301301001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93698508680401 + 6404594332900 = 9679799^2 + 2530730^2 .

It is an emirp because it is prime and its reverse (103310301301001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100103103013301 is a prime.

It is a super-3 number, since 3×100103103013301³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100103103013301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100103103013601) 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, 50051551506650 + 50051551506651.

It is an arithmetic number, because the mean of its divisors is an integer number (50051551506651).

Almost surely, 2^{100103103013301} is an apocalyptic number.

It is an amenable number.

100103103013301 is a deficient number, since it is larger than the sum of its proper divisors (1).

100103103013301 is an equidigital number, since it uses as much as digits as its factorization.

100103103013301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 100103103013301 its reverse (103310301301001), we get a palindrome (203413404314302).

The spelling of 100103103013301 in words is "one hundred trillion, one hundred three billion, one hundred three million, thirteen thousand, three hundred one".