102100210010089 has 2 divisors, whose sum is σ = 102100210010090. Its totient is φ = 102100210010088.

The previous prime is 102100210010087. The next prime is 102100210010147. The reversal of 102100210010089 is 980010012001201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59848480992400 + 42251729017689 = 7736180^2 + 6500133^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100210010089 - 2¹ = 102100210010087 is a prime.

Together with 102100210010087, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102100210010087) 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, 51050105005044 + 51050105005045.

It is an arithmetic number, because the mean of its divisors is an integer number (51050105005045).

Almost surely, 2^{102100210010089} is an apocalyptic number.

It is an amenable number.

102100210010089 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100210010089 is an equidigital number, since it uses as much as digits as its factorization.

102100210010089 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 102100210010089 in words is "one hundred two trillion, one hundred billion, two hundred ten million, ten thousand, eighty-nine".