2101008827 has 2 divisors, whose sum is σ = 2101008828. Its totient is φ = 2101008826.

The previous prime is 2101008817. The next prime is 2101008829. The reversal of 2101008827 is 7288001012.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2101008827 - 2¹⁰ = 2101007803 is a prime.

It is a super-2 number, since 2×2101008827² = 8828476182263831858, which contains 22 as substring.

Together with 2101008829, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2101008827.

It is not a weakly prime, because it can be changed into another prime (2101008829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050504413 + 1050504414.

It is an arithmetic number, because the mean of its divisors is an integer number (1050504414).

Almost surely, 2^2101008827 is an apocalyptic number.

2101008827 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101008827 is an equidigital number, since it uses as much as digits as its factorization.

2101008827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 2101008827 is about 45836.7628329052. The cubic root of 2101008827 is about 1280.7841929274.

Adding to 2101008827 its reverse (7288001012), we get a palindrome (9389009839).

The spelling of 2101008827 in words is "two billion, one hundred one million, eight thousand, eight hundred twenty-seven".