100303113101 has 2 divisors, whose sum is σ = 100303113102. Its totient is φ = 100303113100.

The previous prime is 100303113049. The next prime is 100303113103. The reversal of 100303113101 is 101311303001.

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., 88297528201 + 12005584900 = 297149^2 + 109570^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100303113101 is a prime.

It is a Sophie Germain prime.

Together with 100303113103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100303113103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50151556550 + 50151556551.

It is an arithmetic number, because the mean of its divisors is an integer number (50151556551).

Almost surely, 2^100303113101 is an apocalyptic number.

It is an amenable number.

100303113101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100303113101 is an equidigital number, since it uses as much as digits as its factorization.

100303113101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 100303113101 its reverse (101311303001), we get a palindrome (201614416102).

The spelling of 100303113101 in words is "one hundred billion, three hundred three million, one hundred thirteen thousand, one hundred one".