2002001001111 has 12 divisors (see below), whose sum is σ = 2891959080192. Its totient is φ = 1334584323456.

The previous prime is 2002001001103. The next prime is 2002001001139. The reversal of 2002001001111 is 1111001002002.

It is a happy number.

It is not a de Polignac number, because 2002001001111 - 2³ = 2002001001103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2002001001093 and 2002001001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002001009111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6764631 + ... + 7054376.

It is an arithmetic number, because the mean of its divisors is an integer number (240996590016).

Almost surely, 2^{2002001001111} is an apocalyptic number.

2002001001111 is a deficient number, since it is larger than the sum of its proper divisors (889958079081).

2002001001111 is a wasteful number, since it uses less digits than its factorization.

2002001001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13835110 (or 13835107 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2002001001111 its reverse (1111001002002), we get a palindrome (3113002003113).

The spelling of 2002001001111 in words is "two trillion, two billion, one million, one thousand, one hundred eleven".