100010011009967 has 2 divisors, whose sum is σ = 100010011009968. Its totient is φ = 100010011009966.

The previous prime is 100010011009939. The next prime is 100010011010011. The reversal of 100010011009967 is 769900110010001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100010011009967 - 2¹⁴ = 100010010993583 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010011000967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005005504983 + 50005005504984.

It is an arithmetic number, because the mean of its divisors is an integer number (50005005504984).

Almost surely, 2^{100010011009967} is an apocalyptic number.

100010011009967 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010011009967 is an equidigital number, since it uses as much as digits as its factorization.

100010011009967 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 35.

Adding to 100010011009967 its reverse (769900110010001), we get a palindrome (869910121019968).

The spelling of 100010011009967 in words is "one hundred trillion, ten billion, eleven million, nine thousand, nine hundred sixty-seven".