10221221008073 has 2 divisors, whose sum is σ = 10221221008074. Its totient is φ = 10221221008072.

The previous prime is 10221221008007. The next prime is 10221221008079. The reversal of 10221221008073 is 37080012212201.

10221221008073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6976006111369 + 3245214896704 = 2641213^2 + 1801448^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221221008073 - 2¹² = 10221221003977 is a prime.

It is not a weakly prime, because it can be changed into another prime (10221221008079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110610504036 + 5110610504037.

It is an arithmetic number, because the mean of its divisors is an integer number (5110610504037).

Almost surely, 2^{10221221008073} is an apocalyptic number.

It is an amenable number.

10221221008073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221221008073 is an equidigital number, since it uses as much as digits as its factorization.

10221221008073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 29.

The spelling of 10221221008073 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-one million, eight thousand, seventy-three".