101721220193 has 2 divisors, whose sum is σ = 101721220194. Its totient is φ = 101721220192.

The previous prime is 101721220187. The next prime is 101721220199. The reversal of 101721220193 is 391022127101.

It is a balanced prime because it is at equal distance from previous prime (101721220187) and next prime (101721220199).

It can be written as a sum of positive squares in only one way, i.e., 98098624849 + 3622595344 = 313207^2 + 60188^2 .

It is a cyclic number.

It is not a de Polignac number, because 101721220193 - 2¹⁸ = 101720958049 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101721220199) 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, 50860610096 + 50860610097.

It is an arithmetic number, because the mean of its divisors is an integer number (50860610097).

Almost surely, 2^101721220193 is an apocalyptic number.

It is an amenable number.

101721220193 is a deficient number, since it is larger than the sum of its proper divisors (1).

101721220193 is an equidigital number, since it uses as much as digits as its factorization.

101721220193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 29.

Adding to 101721220193 its reverse (391022127101), we get a palindrome (492743347294).

The spelling of 101721220193 in words is "one hundred one billion, seven hundred twenty-one million, two hundred twenty thousand, one hundred ninety-three".