101200210225117 has 2 divisors, whose sum is σ = 101200210225118. Its totient is φ = 101200210225116.

The previous prime is 101200210225111. The next prime is 101200210225123. The reversal of 101200210225117 is 711522012002101.

It is a balanced prime because it is at equal distance from previous prime (101200210225111) and next prime (101200210225123).

It can be written as a sum of positive squares in only one way, i.e., 100836662728516 + 363547496601 = 10041746^2 + 602949^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200210225117 - 2¹⁹ = 101200209700829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101200210225091 and 101200210225100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101200210225111) 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, 50600105112558 + 50600105112559.

It is an arithmetic number, because the mean of its divisors is an integer number (50600105112559).

Almost surely, 2^{101200210225117} is an apocalyptic number.

It is an amenable number.

101200210225117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200210225117 is an equidigital number, since it uses as much as digits as its factorization.

101200210225117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 25.

Adding to 101200210225117 its reverse (711522012002101), we get a palindrome (812722222227218).

The spelling of 101200210225117 in words is "one hundred one trillion, two hundred billion, two hundred ten million, two hundred twenty-five thousand, one hundred seventeen".