102099961 has 2 divisors, whose sum is σ = 102099962. Its totient is φ = 102099960.

The previous prime is 102099953. The next prime is 102099997. The reversal of 102099961 is 169990201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99600400 + 2499561 = 9980^2 + 1581^2 .

It is an emirp because it is prime and its reverse (169990201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102099961 - 2³ = 102099953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102099961.

It is not a weakly prime, because it can be changed into another prime (102099941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51049980 + 51049981.

It is an arithmetic number, because the mean of its divisors is an integer number (51049981).

Almost surely, 2^102099961 is an apocalyptic number.

It is an amenable number.

102099961 is a deficient number, since it is larger than the sum of its proper divisors (1).

102099961 is an equidigital number, since it uses as much as digits as its factorization.

102099961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 37.

The square root of 102099961 is about 10104.4525334132. The cubic root of 102099961 is about 467.3854539347.

The spelling of 102099961 in words is "one hundred two million, ninety-nine thousand, nine hundred sixty-one".