10001100109967 has 2 divisors, whose sum is σ = 10001100109968. Its totient is φ = 10001100109966.

The previous prime is 10001100109961. The next prime is 10001100110047. The reversal of 10001100109967 is 76990100110001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10001100109967 - 2¹⁰ = 10001100108943 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001100109961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550054983 + 5000550054984.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550054984).

Almost surely, 2^{10001100109967} is an apocalyptic number.

10001100109967 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001100109967 is an equidigital number, since it uses as much as digits as its factorization.

10001100109967 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 10001100109967 its reverse (76990100110001), we get a palindrome (86991200219968).

The spelling of 10001100109967 in words is "ten trillion, one billion, one hundred million, one hundred nine thousand, nine hundred sixty-seven".