102201100117 has 2 divisors, whose sum is σ = 102201100118. Its totient is φ = 102201100116.

The previous prime is 102201100103. The next prime is 102201100151. The reversal of 102201100117 is 711001102201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87683500996 + 14517599121 = 296114^2 + 120489^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102201100117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102201100117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102201100717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100550058 + 51100550059.

It is an arithmetic number, because the mean of its divisors is an integer number (51100550059).

Almost surely, 2^102201100117 is an apocalyptic number.

It is an amenable number.

102201100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201100117 is an equidigital number, since it uses as much as digits as its factorization.

102201100117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 102201100117 its reverse (711001102201), we get a palindrome (813202202318).

The spelling of 102201100117 in words is "one hundred two billion, two hundred one million, one hundred thousand, one hundred seventeen".