101200210220117 has 2 divisors, whose sum is σ = 101200210220118. Its totient is φ = 101200210220116.

The previous prime is 101200210220059. The next prime is 101200210220201. The reversal of 101200210220117 is 711022012002101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61794472014916 + 39405738205201 = 7860946^2 + 6277399^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200210220117 - 2¹⁰ = 101200210219093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101200210225117) 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, 50600105110058 + 50600105110059.

It is an arithmetic number, because the mean of its divisors is an integer number (50600105110059).

Almost surely, 2^{101200210220117} is an apocalyptic number.

It is an amenable number.

101200210220117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200210220117 is an equidigital number, since it uses as much as digits as its factorization.

101200210220117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 101200210220117 its reverse (711022012002101), we get a palindrome (812222222222218).

The spelling of 101200210220117 in words is "one hundred one trillion, two hundred billion, two hundred ten million, two hundred twenty thousand, one hundred seventeen".