10021085827 has 2 divisors, whose sum is σ = 10021085828. Its totient is φ = 10021085826.

The previous prime is 10021085791. The next prime is 10021085843. The reversal of 10021085827 is 72858012001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10021085827 - 2³¹ = 7873602179 is a prime.

It is a super-2 number, since 2×10021085827² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10021085792 and 10021085801.

It is not a weakly prime, because it can be changed into another prime (10021083827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010542913 + 5010542914.

It is an arithmetic number, because the mean of its divisors is an integer number (5010542914).

Almost surely, 2^10021085827 is an apocalyptic number.

10021085827 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021085827 is an equidigital number, since it uses as much as digits as its factorization.

10021085827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8960, while the sum is 34.

Adding to 10021085827 its reverse (72858012001), we get a palindrome (82879097828).

The spelling of 10021085827 in words is "ten billion, twenty-one million, eighty-five thousand, eight hundred twenty-seven".