2138100089 has 2 divisors, whose sum is σ = 2138100090. Its totient is φ = 2138100088.

The previous prime is 2138100071. The next prime is 2138100091. The reversal of 2138100089 is 9800018312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2052814864 + 85285225 = 45308^2 + 9235^2 .

It is a cyclic number.

It is not a de Polignac number, because 2138100089 - 2²⁴ = 2121322873 is a prime.

Together with 2138100091, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2138100689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1069050044 + 1069050045.

It is an arithmetic number, because the mean of its divisors is an integer number (1069050045).

Almost surely, 2^2138100089 is an apocalyptic number.

It is an amenable number.

2138100089 is a deficient number, since it is larger than the sum of its proper divisors (1).

2138100089 is an equidigital number, since it uses as much as digits as its factorization.

2138100089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 2138100089 is about 46239.5943861968. The cubic root of 2138100089 is about 1288.2772687369.

The spelling of 2138100089 in words is "two billion, one hundred thirty-eight million, one hundred thousand, eighty-nine".