100210042013 has 2 divisors, whose sum is σ = 100210042014. Its totient is φ = 100210042012.

The previous prime is 100210042007. The next prime is 100210042033. The reversal of 100210042013 is 310240012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99933751129 + 276290884 = 316123^2 + 16622^2 .

It is a cyclic number.

It is not a de Polignac number, because 100210042013 - 2¹⁸ = 100209779869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100210042033) 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, 50105021006 + 50105021007.

It is an arithmetic number, because the mean of its divisors is an integer number (50105021007).

Almost surely, 2^100210042013 is an apocalyptic number.

It is an amenable number.

100210042013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210042013 is an equidigital number, since it uses as much as digits as its factorization.

100210042013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100210042013 its reverse (310240012001), we get a palindrome (410450054014).

The spelling of 100210042013 in words is "one hundred billion, two hundred ten million, forty-two thousand, thirteen".