102164318881 has 2 divisors, whose sum is σ = 102164318882. Its totient is φ = 102164318880.

The previous prime is 102164318869. The next prime is 102164318903. The reversal of 102164318881 is 188813461201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76374849600 + 25789469281 = 276360^2 + 160591^2 .

It is a cyclic number.

It is not a de Polignac number, because 102164318881 - 2¹⁷ = 102164187809 is a prime.

It is a super-3 number, since 3×102164318881³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (102164318381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51082159440 + 51082159441.

It is an arithmetic number, because the mean of its divisors is an integer number (51082159441).

Almost surely, 2^102164318881 is an apocalyptic number.

It is an amenable number.

102164318881 is a deficient number, since it is larger than the sum of its proper divisors (1).

102164318881 is an equidigital number, since it uses as much as digits as its factorization.

102164318881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 43.

The spelling of 102164318881 in words is "one hundred two billion, one hundred sixty-four million, three hundred eighteen thousand, eight hundred eighty-one".