102102100202189 has 2 divisors, whose sum is σ = 102102100202190. Its totient is φ = 102102100202188.

The previous prime is 102102100202161. The next prime is 102102100202309. The reversal of 102102100202189 is 981202001201201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102015757081225 + 86343120964 = 10100285^2 + 293842^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102100202189 - 2²⁸ = 102101831766733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102102100202129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051050101094 + 51051050101095.

It is an arithmetic number, because the mean of its divisors is an integer number (51051050101095).

Almost surely, 2^{102102100202189} is an apocalyptic number.

It is an amenable number.

102102100202189 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102100202189 is an equidigital number, since it uses as much as digits as its factorization.

102102100202189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 102102100202189 in words is "one hundred two trillion, one hundred two billion, one hundred million, two hundred two thousand, one hundred eighty-nine".