1001101111111 has 12 divisors (see below), whose sum is σ = 1029900616672. Its totient is φ = 973079568000.

The previous prime is 1001101111039. The next prime is 1001101111117. The reversal of 1001101111111 is 1111111011001.

It is a happy number.

It is not a de Polignac number, because 1001101111111 - 2²⁷ = 1000966893383 is a prime.

It is a Duffinian number.

1001101111111 is a modest number, since divided by 1111111 gives 100110 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101111117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 643230 + ... + 1554331.

Almost surely, 2^{1001101111111} is an apocalyptic number.

1001101111111 is a deficient number, since it is larger than the sum of its proper divisors (28799505561).

1001101111111 is an equidigital number, since it uses as much as digits as its factorization.

1001101111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197914 (or 2197873 counting only the distinct ones).

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

Adding to 1001101111111 its reverse (1111111011001), we get a palindrome (2112212122112).

The spelling of 1001101111111 in words is "one trillion, one billion, one hundred one million, one hundred eleven thousand, one hundred eleven".