10221210010337 has 2 divisors, whose sum is σ = 10221210010338. Its totient is φ = 10221210010336.

The previous prime is 10221210010181. The next prime is 10221210010367. The reversal of 10221210010337 is 73301001212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5909644312576 + 4311565697761 = 2430976^2 + 2076431^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221210010337 - 2¹⁰ = 10221210009313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10221210010367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110605005168 + 5110605005169.

It is an arithmetic number, because the mean of its divisors is an integer number (5110605005169).

Almost surely, 2^{10221210010337} is an apocalyptic number.

It is an amenable number.

10221210010337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221210010337 is an equidigital number, since it uses as much as digits as its factorization.

10221210010337 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 23.

Adding to 10221210010337 its reverse (73301001212201), we get a palindrome (83522211222538).

The spelling of 10221210010337 in words is "ten trillion, two hundred twenty-one billion, two hundred ten million, ten thousand, three hundred thirty-seven".