2112100012009 has 16 divisors (see below), whose sum is σ = 2415190094352. Its totient is φ = 1829748400128.

The previous prime is 2112100011997. The next prime is 2112100012027. The reversal of 2112100012009 is 9002100012112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2625537600 + 2109474474409 = 51240^2 + 1452403^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112100012009 - 2⁷ = 2112100011881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112100012049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13458834 + ... + 13614859.

It is an arithmetic number, because the mean of its divisors is an integer number (150949380897).

Almost surely, 2^{2112100012009} is an apocalyptic number.

It is an amenable number.

2112100012009 is a deficient number, since it is larger than the sum of its proper divisors (303090082343).

2112100012009 is a wasteful number, since it uses less digits than its factorization.

2112100012009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27074076.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 2112100012009 in words is "two trillion, one hundred twelve billion, one hundred million, twelve thousand, nine".