102201100020017 has 2 divisors, whose sum is σ = 102201100020018. Its totient is φ = 102201100020016.

The previous prime is 102201100019981. The next prime is 102201100020091. The reversal of 102201100020017 is 710020001102201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89393261949601 + 12807838070416 = 9454801^2 + 3578804^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201100020017 - 2²² = 102201095825713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102201100019977 and 102201100020004.

It is not a weakly prime, because it can be changed into another prime (102201100023017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100550010008 + 51100550010009.

It is an arithmetic number, because the mean of its divisors is an integer number (51100550010009).

Almost surely, 2^{102201100020017} is an apocalyptic number.

It is an amenable number.

102201100020017 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201100020017 is an equidigital number, since it uses as much as digits as its factorization.

102201100020017 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 17.

Adding to 102201100020017 its reverse (710020001102201), we get a palindrome (812221101122218).

The spelling of 102201100020017 in words is "one hundred two trillion, two hundred one billion, one hundred million, twenty thousand, seventeen".