21003002211073 has 2 divisors, whose sum is σ = 21003002211074. Its totient is φ = 21003002211072.

The previous prime is 21003002211007. The next prime is 21003002211091. The reversal of 21003002211073 is 37011220030012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12640072762944 + 8362929448129 = 3555288^2 + 2891873^2 .

It is a cyclic number.

It is not a de Polignac number, because 21003002211073 - 2¹³ = 21003002202881 is a prime.

It is a super-2 number, since 2×21003002211073² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21003002211173) 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, 10501501105536 + 10501501105537.

It is an arithmetic number, because the mean of its divisors is an integer number (10501501105537).

Almost surely, 2^{21003002211073} is an apocalyptic number.

It is an amenable number.

21003002211073 is a deficient number, since it is larger than the sum of its proper divisors (1).

21003002211073 is an equidigital number, since it uses as much as digits as its factorization.

21003002211073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 21003002211073 its reverse (37011220030012), we get a palindrome (58014222241085).

The spelling of 21003002211073 in words is "twenty-one trillion, three billion, two million, two hundred eleven thousand, seventy-three".