10002012212821 has 2 divisors, whose sum is σ = 10002012212822. Its totient is φ = 10002012212820.

The previous prime is 10002012212743. The next prime is 10002012212833. The reversal of 10002012212821 is 12821221020001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5126991089796 + 4875021123025 = 2264286^2 + 2207945^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002012212821 - 2⁷ = 10002012212693 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002012212792 and 10002012212801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002012212891) 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, 5001006106410 + 5001006106411.

It is an arithmetic number, because the mean of its divisors is an integer number (5001006106411).

Almost surely, 2^{10002012212821} is an apocalyptic number.

It is an amenable number.

10002012212821 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002012212821 is an equidigital number, since it uses as much as digits as its factorization.

10002012212821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 10002012212821 its reverse (12821221020001), we get a palindrome (22823233232822).

The spelling of 10002012212821 in words is "ten trillion, two billion, twelve million, two hundred twelve thousand, eight hundred twenty-one".