1001100111001 has 4 divisors (see below), whose sum is σ = 1001102816052. Its totient is φ = 1001097405952.

The previous prime is 1001100110993. The next prime is 1001100111029. The reversal of 1001100111001 is 1001110011001.

It is a happy number.

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

It can be written as a sum of positive squares in 2 ways, for example, as 294088205401 + 707011905600 = 542299^2 + 840840^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001100111001 - 2³ = 1001100110993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001100111041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 688840 + ... + 1573753.

It is an arithmetic number, because the mean of its divisors is an integer number (250275704013).

Almost surely, 2^{1001100111001} is an apocalyptic number.

It is an amenable number.

1001100111001 is a deficient number, since it is larger than the sum of its proper divisors (2705051).

1001100111001 is an equidigital number, since it uses as much as digits as its factorization.

1001100111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705050.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1001100111001 its reverse (1001110011001), we get a palindrome (2002210122002).

It can be divided in two parts, 1001 and 100111001, that multiplied together give a palindrome (100211112001).

The spelling of 1001100111001 in words is "one trillion, one billion, one hundred million, one hundred eleven thousand, one".