10110000821 has 2 divisors, whose sum is σ = 10110000822. Its totient is φ = 10110000820.

The previous prime is 10110000787. The next prime is 10110000869. The reversal of 10110000821 is 12800001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6205500625 + 3904500196 = 78775^2 + 62486^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10110000821 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10110000796 and 10110000805.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10110000881) 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, 5055000410 + 5055000411.

It is an arithmetic number, because the mean of its divisors is an integer number (5055000411).

Almost surely, 2^10110000821 is an apocalyptic number.

It is an amenable number.

10110000821 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110000821 is an equidigital number, since it uses as much as digits as its factorization.

10110000821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10110000821 its reverse (12800001101), we get a palindrome (22910001922).

The spelling of 10110000821 in words is "ten billion, one hundred ten million, eight hundred twenty-one", and thus it is an aban number.