1000001101001 has 8 divisors (see below), whose sum is σ = 1144556561664. Its totient is φ = 855870180480.

The previous prime is 1000001100983. The next prime is 1000001101031. The reversal of 1000001101001 is 1001011000001.

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

It is not a de Polignac number, because 1000001101001 - 2³⁸ = 725123194057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000001101031) 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, 106129985 + ... + 106139406.

It is an arithmetic number, because the mean of its divisors is an integer number (143069570208).

Almost surely, 2^{1000001101001} is an apocalyptic number.

It is an amenable number.

1000001101001 is a deficient number, since it is larger than the sum of its proper divisors (144555460663).

1000001101001 is an equidigital number, since it uses as much as digits as its factorization.

1000001101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212270071.

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

Adding to 1000001101001 its reverse (1001011000001), we get a palindrome (2001012101002).

The spelling of 1000001101001 in words is "one trillion, one million, one hundred one thousand, one".