2112100012109 has 2 divisors, whose sum is σ = 2112100012110. Its totient is φ = 2112100012108.

The previous prime is 2112100012103. The next prime is 2112100012133. The reversal of 2112100012109 is 9012100012112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2034197620009 + 77902392100 = 1426253^2 + 279110^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112100012109 - 2²⁴ = 2112083234893 is a prime.

It is a super-2 number, since 2×2112100012109² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112100012103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056050006054 + 1056050006055.

It is an arithmetic number, because the mean of its divisors is an integer number (1056050006055).

Almost surely, 2^{2112100012109} is an apocalyptic number.

It is an amenable number.

2112100012109 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112100012109 is an equidigital number, since it uses as much as digits as its factorization.

2112100012109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 2112100012109 in words is "two trillion, one hundred twelve billion, one hundred million, twelve thousand, one hundred nine".