10000111101107 has 2 divisors, whose sum is σ = 10000111101108. Its totient is φ = 10000111101106.

The previous prime is 10000111101061. The next prime is 10000111101137. The reversal of 10000111101107 is 70110111100001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10000111101107 - 2¹⁶ = 10000111035571 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000111101091 and 10000111101100.

It is not a weakly prime, because it can be changed into another prime (10000111101137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000055550553 + 5000055550554.

It is an arithmetic number, because the mean of its divisors is an integer number (5000055550554).

Almost surely, 2^{10000111101107} is an apocalyptic number.

10000111101107 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000111101107 is an equidigital number, since it uses as much as digits as its factorization.

10000111101107 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 10000111101107 its reverse (70110111100001), we get a palindrome (80110222201108).

The spelling of 10000111101107 in words is "ten trillion, one hundred eleven million, one hundred one thousand, one hundred seven".