102102200120017 has 2 divisors, whose sum is σ = 102102200120018. Its totient is φ = 102102200120016.

The previous prime is 102102200119981. The next prime is 102102200120029. The reversal of 102102200120017 is 710021002201201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92929291520256 + 9172908599761 = 9639984^2 + 3028681^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102200120017 - 2¹¹ = 102102200117969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102102200119976 and 102102200120003.

It is not a weakly prime, because it can be changed into another prime (102102200120057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051100060008 + 51051100060009.

It is an arithmetic number, because the mean of its divisors is an integer number (51051100060009).

Almost surely, 2^{102102200120017} is an apocalyptic number.

It is an amenable number.

102102200120017 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102200120017 is an equidigital number, since it uses as much as digits as its factorization.

102102200120017 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 19.

Adding to 102102200120017 its reverse (710021002201201), we get a palindrome (812123202321218).

The spelling of 102102200120017 in words is "one hundred two trillion, one hundred two billion, two hundred million, one hundred twenty thousand, seventeen".