1001111112107 has 2 divisors, whose sum is σ = 1001111112108. Its totient is φ = 1001111112106.

The previous prime is 1001111112017. The next prime is 1001111112119. The reversal of 1001111112107 is 7012111111001.

Together with previous prime (1001111112017) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is an emirp because it is prime and its reverse (7012111111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001111112107 - 2¹⁶ = 1001111046571 is a prime.

It is a super-2 number, since 2×1001111112107² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001111111107) 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, 500555556053 + 500555556054.

It is an arithmetic number, because the mean of its divisors is an integer number (500555556054).

Almost surely, 2^{1001111112107} is an apocalyptic number.

1001111112107 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001111112107 is an equidigital number, since it uses as much as digits as its factorization.

1001111112107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 17.

Adding to 1001111112107 its reverse (7012111111001), we get a palindrome (8013222223108).

The spelling of 1001111112107 in words is "one trillion, one billion, one hundred eleven million, one hundred twelve thousand, one hundred seven".