2002110001001 has 32 divisors (see below), whose sum is σ = 2313017441280. Its totient is φ = 1713857745600.

The previous prime is 2002110000991. The next prime is 2002110001043. The reversal of 2002110001001 is 1001000112002.

It is not a de Polignac number, because 2002110001001 - 2⁶ = 2002110000937 is a prime.

It is a super-2 number, since 2×2002110001001² (a number of 25 digits) contains 22 as substring.

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 2002110001001.

It is not an unprimeable number, because it can be changed into a prime (2002110001201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75758276 + ... + 75784698.

It is an arithmetic number, because the mean of its divisors is an integer number (72281795040).

Almost surely, 2^{2002110001001} is an apocalyptic number.

It is an amenable number.

2002110001001 is a deficient number, since it is larger than the sum of its proper divisors (310907440279).

2002110001001 is a wasteful number, since it uses less digits than its factorization.

2002110001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28637.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2002110001001 its reverse (1001000112002), we get a palindrome (3003110113003).

The spelling of 2002110001001 in words is "two trillion, two billion, one hundred ten million, one thousand, one".