112002112031 has 2 divisors, whose sum is σ = 112002112032. Its totient is φ = 112002112030.

The previous prime is 112002111967. The next prime is 112002112037. The reversal of 112002112031 is 130211200211.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 112002112031 - 2⁶ = 112002111967 is a prime.

It is a super-2 number, since 2×112002112031² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 112002111997 and 112002112015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112002112037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56001056015 + 56001056016.

It is an arithmetic number, because the mean of its divisors is an integer number (56001056016).

Almost surely, 2^112002112031 is an apocalyptic number.

112002112031 is a deficient number, since it is larger than the sum of its proper divisors (1).

112002112031 is an equidigital number, since it uses as much as digits as its factorization.

112002112031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 112002112031 its reverse (130211200211), we get a palindrome (242213312242).

The spelling of 112002112031 in words is "one hundred twelve billion, two million, one hundred twelve thousand, thirty-one".