11000101110107 has 16 divisors (see below), whose sum is σ = 11663057609280. Its totient is φ = 10356325056000.

The previous prime is 11000101110101. The next prime is 11000101110109. The reversal of 11000101110107 is 70101110100011.

It is a cyclic number.

It is not a de Polignac number, because 11000101110107 - 2⁴ = 11000101110091 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11000101110091 and 11000101110100.

It is not an unprimeable number, because it can be changed into a prime (11000101110101) 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 in 15 ways as a sum of consecutive naturals, for example, 143519 + ... + 4692632.

It is an arithmetic number, because the mean of its divisors is an integer number (728941100580).

Almost surely, 2^{11000101110107} is an apocalyptic number.

11000101110107 is a deficient number, since it is larger than the sum of its proper divisors (662956499173).

11000101110107 is a wasteful number, since it uses less digits than its factorization.

11000101110107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838134.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 11000101110107 its reverse (70101110100011), we get a palindrome (81101211210118).

The spelling of 11000101110107 in words is "eleven trillion, one hundred one million, one hundred ten thousand, one hundred seven".