2102100100189 has 2 divisors, whose sum is σ = 2102100100190. Its totient is φ = 2102100100188.

The previous prime is 2102100100183. The next prime is 2102100100253. The reversal of 2102100100189 is 9810010012012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2051434592089 + 50665508100 = 1432283^2 + 225090^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102100100189 - 2¹⁵ = 2102100067421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102100100183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051050050094 + 1051050050095.

It is an arithmetic number, because the mean of its divisors is an integer number (1051050050095).

Almost surely, 2^{2102100100189} is an apocalyptic number.

It is an amenable number.

2102100100189 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102100100189 is an equidigital number, since it uses as much as digits as its factorization.

2102100100189 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 2102100100189 in words is "two trillion, one hundred two billion, one hundred million, one hundred thousand, one hundred eighty-nine".