1011111040667 has 16 divisors (see below), whose sum is σ = 1246101491712. Its totient is φ = 798934644000.

The previous prime is 1011111040661. The next prime is 1011111040699. The reversal of 1011111040667 is 7660401111101.

It is a cyclic number.

It is not a de Polignac number, because 1011111040667 - 2⁸ = 1011111040411 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011111040661) 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 in 15 ways as a sum of consecutive naturals, for example, 7329203 + ... + 7465884.

It is an arithmetic number, because the mean of its divisors is an integer number (77881343232).

Almost surely, 2^{1011111040667} is an apocalyptic number.

1011111040667 is a deficient number, since it is larger than the sum of its proper divisors (234990451045).

1011111040667 is a wasteful number, since it uses less digits than its factorization.

1011111040667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14795858.

The product of its (nonzero) digits is 1008, while the sum is 29.

Adding to 1011111040667 its reverse (7660401111101), we get a palindrome (8671512151768).

The spelling of 1011111040667 in words is "one trillion, eleven billion, one hundred eleven million, forty thousand, six hundred sixty-seven".