1001011111001 has 16 divisors (see below), whose sum is σ = 1096278176448. Its totient is φ = 906457305600.

The previous prime is 1001011110977. The next prime is 1001011111033. The reversal of 1001011111001 is 1001111101001.

It is not a de Polignac number, because 1001011111001 - 2¹⁴ = 1001011094617 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 1001011111001.

It is not an unprimeable number, because it can be changed into a prime (1001011111301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9103985 + ... + 9213281.

It is an arithmetic number, because the mean of its divisors is an integer number (68517386028).

Almost surely, 2^{1001011111001} is an apocalyptic number.

1001011111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001011111001 is a deficient number, since it is larger than the sum of its proper divisors (95267065447).

1001011111001 is a wasteful number, since it uses less digits than its factorization.

1001011111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112552.

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

Adding to 1001011111001 its reverse (1001111101001), we get a palindrome (2002122212002).

It can be divided in two parts, 100 and 1011111001, that added together give a palindrome (1011111101).

The spelling of 1001011111001 in words is "one trillion, one billion, eleven million, one hundred eleven thousand, one".