10033001821 has 2 divisors, whose sum is σ = 10033001822. Its totient is φ = 10033001820.

The previous prime is 10033001819. The next prime is 10033001827. The reversal of 10033001821 is 12810033001.

10033001821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5451607225 + 4581394596 = 73835^2 + 67686^2 .

It is a cyclic number.

It is not a de Polignac number, because 10033001821 - 2¹ = 10033001819 is a prime.

It is a super-2 number, since 2×10033001821² (a number of 21 digits) contains 22 as substring.

Together with 10033001819, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10033001827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016500910 + 5016500911.

It is an arithmetic number, because the mean of its divisors is an integer number (5016500911).

Almost surely, 2^10033001821 is an apocalyptic number.

It is an amenable number.

10033001821 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033001821 is an equidigital number, since it uses as much as digits as its factorization.

10033001821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10033001821 its reverse (12810033001), we get a palindrome (22843034822).

The spelling of 10033001821 in words is "ten billion, thirty-three million, one thousand, eight hundred twenty-one".