21122100104009 has 2 divisors, whose sum is σ = 21122100104010. Its totient is φ = 21122100104008.

The previous prime is 21122100103999. The next prime is 21122100104033. The reversal of 21122100104009 is 90040100122112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17653417350409 + 3468682753600 = 4201597^2 + 1862440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21122100104009 is a prime.

It is a super-2 number, since 2×21122100104009² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (21122100104069) 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, 10561050052004 + 10561050052005.

It is an arithmetic number, because the mean of its divisors is an integer number (10561050052005).

Almost surely, 2^{21122100104009} is an apocalyptic number.

It is an amenable number.

21122100104009 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122100104009 is an equidigital number, since it uses as much as digits as its factorization.

21122100104009 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 23.

The spelling of 21122100104009 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred million, one hundred four thousand, nine".