100013021 has 2 divisors, whose sum is σ = 100013022. Its totient is φ = 100013020.

The previous prime is 100012987. The next prime is 100013027. The reversal of 100013021 is 120310001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70744921 + 29268100 = 8411^2 + 5410^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100013021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100013027) 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, 50006510 + 50006511.

It is an arithmetic number, because the mean of its divisors is an integer number (50006511).

Almost surely, 2^100013021 is an apocalyptic number.

It is an amenable number.

100013021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100013021 is an equidigital number, since it uses as much as digits as its factorization.

100013021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 100013021 is about 10000.6510288081. The cubic root of 100013021 is about 464.1790285297.

Adding to 100013021 its reverse (120310001), we get a palindrome (220323022).

The spelling of 100013021 in words is "one hundred million, thirteen thousand, twenty-one".