1001110111001 has 96 divisors (see below), whose sum is σ = 1383056419584. Its totient is φ = 704953497600.

The previous prime is 1001110110971. The next prime is 1001110111061.

1001110111001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1001110111001 - 2⁶ = 1001110110937 is a prime.

1001110111001 is a strobogrammatic number because it is the same when read upside-down.

It is a self number, because there is not a number n which added to its sum of digits gives 1001110111001.

It is not an unprimeable number, because it can be changed into a prime (1001110111061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110116466 + ... + 110125556.

It is an arithmetic number, because the mean of its divisors is an integer number (14406837704).

Almost surely, 2^{1001110111001} is an apocalyptic number.

1001110111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001110111001 is a deficient number, since it is larger than the sum of its proper divisors (381946308583).

1001110111001 is a wasteful number, since it uses less digits than its factorization.

1001110111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9343 (or 9332 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

It can be divided in two parts, 1001110 and 111001, that added together give a palindrome (1112111).

The spelling of 1001110111001 in words is "one trillion, one billion, one hundred ten million, one hundred eleven thousand, one".