21100586153189 has 2 divisors, whose sum is σ = 21100586153190. Its totient is φ = 21100586153188.

The previous prime is 21100586153131. The next prime is 21100586153191. The reversal of 21100586153189 is 98135168500112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14236359072100 + 6864227081089 = 3773110^2 + 2619967^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21100586153189 is a prime.

Together with 21100586153191, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21100586155189) 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, 10550293076594 + 10550293076595.

It is an arithmetic number, because the mean of its divisors is an integer number (10550293076595).

Almost surely, 2^{21100586153189} is an apocalyptic number.

It is an amenable number.

21100586153189 is a deficient number, since it is larger than the sum of its proper divisors (1).

21100586153189 is an equidigital number, since it uses as much as digits as its factorization.

21100586153189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 50.

The spelling of 21100586153189 in words is "twenty-one trillion, one hundred billion, five hundred eighty-six million, one hundred fifty-three thousand, one hundred eighty-nine".