10001100110107 has 2 divisors, whose sum is σ = 10001100110108. Its totient is φ = 10001100110106.

The previous prime is 10001100110047. The next prime is 10001100110129. The reversal of 10001100110107 is 70101100110001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10001100110107 - 2²³ = 10001091721499 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001100110167) 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, 5000550055053 + 5000550055054.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550055054).

Almost surely, 2^{10001100110107} is an apocalyptic number.

10001100110107 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001100110107 is an equidigital number, since it uses as much as digits as its factorization.

10001100110107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 10001100110107 its reverse (70101100110001), we get a palindrome (80102200220108).

The spelling of 10001100110107 in words is "ten trillion, one billion, one hundred million, one hundred ten thousand, one hundred seven".