100102000210189 has 2 divisors, whose sum is σ = 100102000210190. Its totient is φ = 100102000210188.

The previous prime is 100102000210187. The next prime is 100102000210253. The reversal of 100102000210189 is 981012000201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99981700837225 + 120299372964 = 9999085^2 + 346842^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102000210189 - 2¹ = 100102000210187 is a prime.

Together with 100102000210187, 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 (100102000210187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051000105094 + 50051000105095.

It is an arithmetic number, because the mean of its divisors is an integer number (50051000105095).

Almost surely, 2^{100102000210189} is an apocalyptic number.

It is an amenable number.

100102000210189 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102000210189 is an equidigital number, since it uses as much as digits as its factorization.

100102000210189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 100102000210189 in words is "one hundred trillion, one hundred two billion, two hundred ten thousand, one hundred eighty-nine".