10100011110967 has 2 divisors, whose sum is σ = 10100011110968. Its totient is φ = 10100011110966.

The previous prime is 10100011110947. The next prime is 10100011110991. The reversal of 10100011110967 is 76901111000101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100011110967 - 2³⁵ = 10065651372599 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100011110947) 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, 5050005555483 + 5050005555484.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005555484).

Almost surely, 2^{10100011110967} is an apocalyptic number.

10100011110967 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100011110967 is an equidigital number, since it uses as much as digits as its factorization.

10100011110967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 28.

The spelling of 10100011110967 in words is "ten trillion, one hundred billion, eleven million, one hundred ten thousand, nine hundred sixty-seven".