100101100013 has 2 divisors, whose sum is σ = 100101100014. Its totient is φ = 100101100012.

The previous prime is 100101100003. The next prime is 100101100019. The reversal of 100101100013 is 310001101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87192050089 + 12909049924 = 295283^2 + 113618^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101100013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101100019) 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, 50050550006 + 50050550007.

It is an arithmetic number, because the mean of its divisors is an integer number (50050550007).

Almost surely, 2^100101100013 is an apocalyptic number.

It is an amenable number.

100101100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101100013 is an equidigital number, since it uses as much as digits as its factorization.

100101100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 100101100013 its reverse (310001101001), we get a palindrome (410102201014).

The spelling of 100101100013 in words is "one hundred billion, one hundred one million, one hundred thousand, thirteen".