100021013 has 8 divisors (see below), whose sum is σ = 105993432. Its totient is φ = 94058496.

The previous prime is 100021003. The next prime is 100021039. The reversal of 100021013 is 310120001.

It can be written as a sum of positive squares in 4 ways, for example, as 79887844 + 20133169 = 8938^2 + 4487^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100021013 - 2¹⁴ = 100004629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32831 + ... + 35747.

It is an arithmetic number, because the mean of its divisors is an integer number (13249179).

Almost surely, 2^100021013 is an apocalyptic number.

It is an amenable number.

100021013 is a deficient number, since it is larger than the sum of its proper divisors (5972419).

100021013 is a wasteful number, since it uses less digits than its factorization.

100021013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4951.

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

The square root of 100021013 is about 10001.0505948125. The cubic root of 100021013 is about 464.1913923197.

Adding to 100021013 its reverse (310120001), we get a palindrome (410141014).

The spelling of 100021013 in words is "one hundred million, twenty-one thousand, thirteen".