1002112009967 has 2 divisors, whose sum is σ = 1002112009968. Its totient is φ = 1002112009966.

The previous prime is 1002112009889. The next prime is 1002112010021. The reversal of 1002112009967 is 7699002112001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1002112009967 - 2⁸ = 1002112009711 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1002112009967.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002112002967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501056004983 + 501056004984.

It is an arithmetic number, because the mean of its divisors is an integer number (501056004984).

Almost surely, 2^{1002112009967} is an apocalyptic number.

1002112009967 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002112009967 is an equidigital number, since it uses as much as digits as its factorization.

1002112009967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 38.

The spelling of 1002112009967 in words is "one trillion, two billion, one hundred twelve million, nine thousand, nine hundred sixty-seven".