1001000100001 has 32 divisors (see below), whose sum is σ = 1117868916096. Its totient is φ = 888721920000.

The previous prime is 1001000099993. The next prime is 1001000100053. The reversal of 1001000100001 is 1000010001001.

It is a cyclic number.

It is not a de Polignac number, because 1001000100001 - 2³ = 1001000099993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001000100301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44103066 + ... + 44125756.

It is an arithmetic number, because the mean of its divisors is an integer number (34933403628).

Almost surely, 2^{1001000100001} is an apocalyptic number.

1001000100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001000100001 is a deficient number, since it is larger than the sum of its proper divisors (116868816095).

1001000100001 is a wasteful number, since it uses less digits than its factorization.

1001000100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23313.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1001000100001 its reverse (1000010001001), we get a palindrome (2001010101002).

The spelling of 1001000100001 in words is "one trillion, one billion, one hundred thousand, one".