1001112001001 has 4 divisors (see below), whose sum is σ = 1144128001152. Its totient is φ = 858096000852.

The previous prime is 1001112000983. The next prime is 1001112001009. The reversal of 1001112001001 is 1001002111001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1001112001001 - 2⁶ = 1001112000937 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 1001112001001.

It is not an unprimeable number, because it can be changed into a prime (1001112001009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71508000065 + ... + 71508000078.

It is an arithmetic number, because the mean of its divisors is an integer number (286032000288).

Almost surely, 2^{1001112001001} is an apocalyptic number.

It is an amenable number.

1001112001001 is a deficient number, since it is larger than the sum of its proper divisors (143016000151).

1001112001001 is an equidigital number, since it uses as much as digits as its factorization.

1001112001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143016000150.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1001112001001 its reverse (1001002111001), we get a palindrome (2002114112002).

The spelling of 1001112001001 in words is "one trillion, one billion, one hundred twelve million, one thousand, one".