102199 has 2 divisors, whose sum is σ = 102200. Its totient is φ = 102198.

The previous prime is 102197. The next prime is 102203. The reversal of 102199 is 991201.

102199 = 128² + 129² + ... + 133².

It is a weak prime.

It is an emirp because it is prime and its reverse (991201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102199 - 2¹ = 102197 is a prime.

Together with 102197, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51099 + 51100.

It is an arithmetic number, because the mean of its divisors is an integer number (51100).

2¹⁰²¹⁹⁹ is an apocalyptic number.

102199 is a deficient number, since it is larger than the sum of its proper divisors (1).

102199 is an equidigital number, since it uses as much as digits as its factorization.

102199 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 102199 is about 319.6857832310. The cubic root of 102199 is about 46.7536529503.

It can be divided in two parts, 10 and 2199, that added together give a square (2209 = 47²).

The spelling of 102199 in words is "one hundred two thousand, one hundred ninety-nine".