1001001100001 has 32 divisors (see below), whose sum is σ = 1172906127360. Its totient is φ = 836567222400.

The previous prime is 1001001099997. The next prime is 1001001100003. The reversal of 1001001100001 is 1000011001001.

It is not a de Polignac number, because 1001001100001 - 2² = 1001001099997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001001100003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132386261 + ... + 132393821.

It is an arithmetic number, because the mean of its divisors is an integer number (36653316480).

Almost surely, 2^{1001001100001} is an apocalyptic number.

It is an amenable number.

1001001100001 is a deficient number, since it is larger than the sum of its proper divisors (171905027359).

1001001100001 is a wasteful number, since it uses less digits than its factorization.

1001001100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10205.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1001001100001 its reverse (1000011001001), we get a palindrome (2001012101002).

It can be divided in two parts, 1001001 and 100001, that multiplied together give a palindrome (100101101001).

The spelling of 1001001100001 in words is "one trillion, one billion, one million, one hundred thousand, one".