1002001111001 has 16 divisors (see below), whose sum is σ = 1150818451200. Its totient is φ = 862821090000.

The previous prime is 1002001110983. The next prime is 1002001111009. The reversal of 1002001111001 is 1001111002001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1002001111001 - 2⁶ = 1002001110937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1002001111001.

It is not an unprimeable number, because it can be changed into a prime (1002001111009) 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, 837626 + ... + 1644876.

It is an arithmetic number, because the mean of its divisors is an integer number (71926153200).

Almost surely, 2^{1002001111001} is an apocalyptic number.

1002001111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002001111001 is a deficient number, since it is larger than the sum of its proper divisors (148817340199).

1002001111001 is a wasteful number, since it uses less digits than its factorization.

1002001111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813220.

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

Adding to 1002001111001 its reverse (1001111002001), we get a palindrome (2003112113002).

The spelling of 1002001111001 in words is "one trillion, two billion, one million, one hundred eleven thousand, one".