1001111011001 has 8 divisors (see below), whose sum is σ = 1001415518400. Its totient is φ = 1000806564528.

The previous prime is 1001111010979. The next prime is 1001111011007. The reversal of 1001111011001 is 1001101111001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001111011001 - 2¹⁴ = 1001110994617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001111011001.

It is not an unprimeable number, because it can be changed into a prime (1001111011007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79151660 + ... + 79164306.

It is an arithmetic number, because the mean of its divisors is an integer number (125176939800).

Almost surely, 2^{1001111011001} is an apocalyptic number.

It is an amenable number.

1001111011001 is a deficient number, since it is larger than the sum of its proper divisors (304507399).

1001111011001 is an equidigital number, since it uses as much as digits as its factorization.

1001111011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30463.

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

Adding to 1001111011001 its reverse (1001101111001), we get a palindrome (2002212122002).

The spelling of 1001111011001 in words is "one trillion, one billion, one hundred eleven million, eleven thousand, one".