102000100967 has 2 divisors, whose sum is σ = 102000100968. Its totient is φ = 102000100966.

The previous prime is 102000100921. The next prime is 102000101017. The reversal of 102000100967 is 769001000201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102000100967 - 2⁶ = 102000100903 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102000100567) 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, 51000050483 + 51000050484.

It is an arithmetic number, because the mean of its divisors is an integer number (51000050484).

Almost surely, 2^102000100967 is an apocalyptic number.

102000100967 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000100967 is an equidigital number, since it uses as much as digits as its factorization.

102000100967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 26.

The spelling of 102000100967 in words is "one hundred two billion, one hundred thousand, nine hundred sixty-seven".