10101111009967 has 2 divisors, whose sum is σ = 10101111009968. Its totient is φ = 10101111009966.

The previous prime is 10101111009961. The next prime is 10101111010009. The reversal of 10101111009967 is 76990011110101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10101111009967 - 2⁷ = 10101111009839 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101111009961) 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, 5050555504983 + 5050555504984.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555504984).

Almost surely, 2^{10101111009967} is an apocalyptic number.

10101111009967 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101111009967 is an equidigital number, since it uses as much as digits as its factorization.

10101111009967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 37.

The spelling of 10101111009967 in words is "ten trillion, one hundred one billion, one hundred eleven million, nine thousand, nine hundred sixty-seven".