2112000031 has 2 divisors, whose sum is σ = 2112000032. Its totient is φ = 2112000030.

The previous prime is 2112000029. The next prime is 2112000041. The reversal of 2112000031 is 1300002112.

It is an a-pointer prime, because the next prime (2112000041) can be obtained adding 2112000031 to its sum of digits (10).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2112000031 - 2¹ = 2112000029 is a prime.

It is a super-2 number, since 2×2112000031² = 8921088261888001922, which contains 22 as substring.

Together with 2112000029, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2111999981 and 2112000017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056000015 + 1056000016.

It is an arithmetic number, because the mean of its divisors is an integer number (1056000016).

Almost surely, 2^2112000031 is an apocalyptic number.

2112000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112000031 is an equidigital number, since it uses as much as digits as its factorization.

2112000031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2112000031 is about 45956.5015095797. The cubic root of 2112000031 is about 1283.0137382757.

Adding to 2112000031 its reverse (1300002112), we get a palindrome (3412002143).

The spelling of 2112000031 in words is "two billion, one hundred twelve million, thirty-one", and thus it is an aban number.