100110011001107 has 2 divisors, whose sum is σ = 100110011001108. Its totient is φ = 100110011001106.

The previous prime is 100110011001101. The next prime is 100110011001157. The reversal of 100110011001107 is 701100110011001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100110011001107 - 2⁸ = 100110011000851 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100110011001091 and 100110011001100.

It is not a weakly prime, because it can be changed into another prime (100110011001101) 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, 50055005500553 + 50055005500554.

It is an arithmetic number, because the mean of its divisors is an integer number (50055005500554).

Almost surely, 2^{100110011001107} is an apocalyptic number.

100110011001107 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110011001107 is an equidigital number, since it uses as much as digits as its factorization.

100110011001107 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 14.

Adding to 100110011001107 its reverse (701100110011001), we get a palindrome (801210121012108).

The spelling of 100110011001107 in words is "one hundred trillion, one hundred ten billion, eleven million, one thousand, one hundred seven".