102200000201017 has 2 divisors, whose sum is σ = 102200000201018. Its totient is φ = 102200000201016.

The previous prime is 102200000200997. The next prime is 102200000201027. The reversal of 102200000201017 is 710102000002201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97488391651641 + 4711608549376 = 9873621^2 + 2170624^2 .

It is an emirp because it is prime and its reverse (710102000002201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102200000201017 - 2¹¹ = 102200000198969 is a prime.

It is not a weakly prime, because it can be changed into another prime (102200000201027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100000100508 + 51100000100509.

It is an arithmetic number, because the mean of its divisors is an integer number (51100000100509).

Almost surely, 2^{102200000201017} is an apocalyptic number.

It is an amenable number.

102200000201017 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200000201017 is an equidigital number, since it uses as much as digits as its factorization.

102200000201017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 16.

Adding to 102200000201017 its reverse (710102000002201), we get a palindrome (812302000203218).

The spelling of 102200000201017 in words is "one hundred two trillion, two hundred billion, two hundred one thousand, seventeen".