10021000102021 has 2 divisors, whose sum is σ = 10021000102022. Its totient is φ = 10021000102020.

The previous prime is 10021000101991. The next prime is 10021000102033. The reversal of 10021000102021 is 12020100012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9060786292996 + 960213809025 = 3010114^2 + 979905^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021000102021 - 2¹¹ = 10021000099973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021000101989 and 10021000102007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021000102051) 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, 5010500051010 + 5010500051011.

It is an arithmetic number, because the mean of its divisors is an integer number (5010500051011).

Almost surely, 2^{10021000102021} is an apocalyptic number.

It is an amenable number.

10021000102021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021000102021 is an equidigital number, since it uses as much as digits as its factorization.

10021000102021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10021000102021 its reverse (12020100012001), we get a palindrome (22041100114022).

The spelling of 10021000102021 in words is "ten trillion, twenty-one billion, one hundred two thousand, twenty-one".