1001011111111 has 4 divisors (see below), whose sum is σ = 1092012121224. Its totient is φ = 910010101000.

The previous prime is 1001011111069. The next prime is 1001011111127. The reversal of 1001011111111 is 1111111101001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 1001011111111 - 2²⁷ = 1000876893383 is a prime.

It is a Duffinian number.

1001011111111 is a modest number, since divided by 1111111 gives 100101 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001011111171) 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 in 3 ways as a sum of consecutive naturals, for example, 45500505040 + ... + 45500505061.

It is an arithmetic number, because the mean of its divisors is an integer number (273003030306).

Almost surely, 2^{1001011111111} is an apocalyptic number.

1001011111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001011111111 is a deficient number, since it is larger than the sum of its proper divisors (91001010113).

1001011111111 is an equidigital number, since it uses as much as digits as its factorization.

1001011111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91001010112.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 1001011111111 its reverse (1111111101001), we get a palindrome (2112122212112).

The spelling of 1001011111111 in words is "one trillion, one billion, eleven million, one hundred eleven thousand, one hundred eleven".