21122010012109 has 2 divisors, whose sum is σ = 21122010012110. Its totient is φ = 21122010012108.

The previous prime is 21122010012079. The next prime is 21122010012127. The reversal of 21122010012109 is 90121001022112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15237140496484 + 5884869515625 = 3903478^2 + 2425875^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122010012109 - 2⁷ = 21122010011981 is a prime.

It is a super-2 number, since 2×21122010012109² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21122010012109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21122010016109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561005006054 + 10561005006055.

It is an arithmetic number, because the mean of its divisors is an integer number (10561005006055).

Almost surely, 2^{21122010012109} is an apocalyptic number.

It is an amenable number.

21122010012109 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122010012109 is an equidigital number, since it uses as much as digits as its factorization.

21122010012109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 21122010012109 in words is "twenty-one trillion, one hundred twenty-two billion, ten million, twelve thousand, one hundred nine".