102101189 has 2 divisors, whose sum is σ = 102101190. Its totient is φ = 102101188.

The previous prime is 102101183. The next prime is 102101191. The reversal of 102101189 is 981101201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100300225 + 1800964 = 10015^2 + 1342^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101189 - 2⁴ = 102101173 is a prime.

It is a Sophie Germain prime.

Together with 102101191, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102101183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050594 + 51050595.

It is an arithmetic number, because the mean of its divisors is an integer number (51050595).

Almost surely, 2^102101189 is an apocalyptic number.

It is an amenable number.

102101189 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101189 is an equidigital number, since it uses as much as digits as its factorization.

102101189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The square root of 102101189 is about 10104.5132985216. The cubic root of 102101189 is about 467.3873277423.

The spelling of 102101189 in words is "one hundred two million, one hundred one thousand, one hundred eighty-nine".