10010000111107 has 2 divisors, whose sum is σ = 10010000111108. Its totient is φ = 10010000111106.

The previous prime is 10010000111101. The next prime is 10010000111113. The reversal of 10010000111107 is 70111100001001.

It is a balanced prime because it is at equal distance from previous prime (10010000111101) and next prime (10010000111113).

It is a cyclic number.

It is not a de Polignac number, because 10010000111107 - 2¹⁵ = 10010000078339 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010000111101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005000055553 + 5005000055554.

It is an arithmetic number, because the mean of its divisors is an integer number (5005000055554).

Almost surely, 2^{10010000111107} is an apocalyptic number.

10010000111107 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010000111107 is an equidigital number, since it uses as much as digits as its factorization.

10010000111107 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 10010000111107 its reverse (70111100001001), we get a palindrome (80121100112108).

The spelling of 10010000111107 in words is "ten trillion, ten billion, one hundred eleven thousand, one hundred seven".