1001001112001 has 16 divisors (see below), whose sum is σ = 1156293750528. Its totient is φ = 856429190400.

The previous prime is 1001001111991. The next prime is 1001001112019. The reversal of 1001001112001 is 1002111001001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1001001112001 - 2⁶ = 1001001111937 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 1001001112001.

It is not an unprimeable number, because it can be changed into a prime (1001001112051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4004471 + ... + 4247091.

It is an arithmetic number, because the mean of its divisors is an integer number (72268359408).

Almost surely, 2^{1001001112001} is an apocalyptic number.

1001001112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001001112001 is a deficient number, since it is larger than the sum of its proper divisors (155292638527).

1001001112001 is a wasteful number, since it uses less digits than its factorization.

1001001112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264712.

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

Adding to 1001001112001 its reverse (1002111001001), we get a palindrome (2003112113002).

The spelling of 1001001112001 in words is "one trillion, one billion, one million, one hundred twelve thousand, one".