102400200017 has 2 divisors, whose sum is σ = 102400200018. Its totient is φ = 102400200016.

The previous prime is 102400200011. The next prime is 102400200031. The reversal of 102400200017 is 710002004201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61108334401 + 41291865616 = 247201^2 + 203204^2 .

It is a cyclic number.

It is not a de Polignac number, because 102400200017 - 2¹² = 102400195921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102400199968 and 102400200004.

It is not a weakly prime, because it can be changed into another prime (102400200011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51200100008 + 51200100009.

It is an arithmetic number, because the mean of its divisors is an integer number (51200100009).

Almost surely, 2^102400200017 is an apocalyptic number.

It is an amenable number.

102400200017 is a deficient number, since it is larger than the sum of its proper divisors (1).

102400200017 is an equidigital number, since it uses as much as digits as its factorization.

102400200017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 17.

Adding to 102400200017 its reverse (710002004201), we get a palindrome (812402204218).

The spelling of 102400200017 in words is "one hundred two billion, four hundred million, two hundred thousand, seventeen".