2112011002109 has 2 divisors, whose sum is σ = 2112011002110. Its totient is φ = 2112011002108.

The previous prime is 2112011002069. The next prime is 2112011002111. The reversal of 2112011002109 is 9012001102112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1853314663225 + 258696338884 = 1361365^2 + 508622^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112011002109 is a prime.

Together with 2112011002111, 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 (2112011001109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056005501054 + 1056005501055.

It is an arithmetic number, because the mean of its divisors is an integer number (1056005501055).

Almost surely, 2^{2112011002109} is an apocalyptic number.

It is an amenable number.

2112011002109 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112011002109 is an equidigital number, since it uses as much as digits as its factorization.

2112011002109 is an evil number, because the sum of its binary digits is even.

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

The spelling of 2112011002109 in words is "two trillion, one hundred twelve billion, eleven million, two thousand, one hundred nine".