2021100013 has 4 divisors (see below), whose sum is σ = 2021296288. Its totient is φ = 2020903740.

The previous prime is 2021099989. The next prime is 2021100019. The reversal of 2021100013 is 3100011202.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2021100013 - 2⁵ = 2021099981 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 (2021100019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81783 + ... + 103588.

It is an arithmetic number, because the mean of its divisors is an integer number (505324072).

Almost surely, 2^2021100013 is an apocalyptic number.

It is an amenable number.

2021100013 is a deficient number, since it is larger than the sum of its proper divisors (196275).

2021100013 is a wasteful number, since it uses less digits than its factorization.

2021100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196274.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2021100013 is about 44956.6459269372. The cubic root of 2021100013 is about 1264.3362842776.

Adding to 2021100013 its reverse (3100011202), we get a palindrome (5121111215).

The spelling of 2021100013 in words is "two billion, twenty-one million, one hundred thousand, thirteen".