2111008021 has 2 divisors, whose sum is σ = 2111008022. Its totient is φ = 2111008020.

The previous prime is 2111008019. The next prime is 2111008033. The reversal of 2111008021 is 1208001112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2009280625 + 101727396 = 44825^2 + 10086^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111008021 - 2¹ = 2111008019 is a prime.

Together with 2111008019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2111007986 and 2111008004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2111008001) 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 as a sum of consecutive naturals, namely, 1055504010 + 1055504011.

It is an arithmetic number, because the mean of its divisors is an integer number (1055504011).

Almost surely, 2^2111008021 is an apocalyptic number.

It is an amenable number.

2111008021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111008021 is an equidigital number, since it uses as much as digits as its factorization.

2111008021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

The square root of 2111008021 is about 45945.7073185298. The cubic root of 2111008021 is about 1282.8128289063.

Adding to 2111008021 its reverse (1208001112), we get a palindrome (3319009133).

The spelling of 2111008021 in words is "two billion, one hundred eleven million, eight thousand, twenty-one".