10221220220137 has 2 divisors, whose sum is σ = 10221220220138. Its totient is φ = 10221220220136.

The previous prime is 10221220220077. The next prime is 10221220220147. The reversal of 10221220220137 is 73102202212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5282385142336 + 4938835077801 = 2298344^2 + 2222349^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221220220137 - 2⁷ = 10221220220009 is a prime.

It is not a weakly prime, because it can be changed into another prime (10221220220147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110610110068 + 5110610110069.

It is an arithmetic number, because the mean of its divisors is an integer number (5110610110069).

Almost surely, 2^{10221220220137} is an apocalyptic number.

It is an amenable number.

10221220220137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221220220137 is an equidigital number, since it uses as much as digits as its factorization.

10221220220137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 10221220220137 its reverse (73102202212201), we get a palindrome (83323422432338).

The spelling of 10221220220137 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty million, two hundred twenty thousand, one hundred thirty-seven".