2002001111111 has 8 divisors (see below), whose sum is σ = 2002550546304. Its totient is φ = 2001451761400.

The previous prime is 2002001111017. The next prime is 2002001111129. The reversal of 2002001111111 is 1111111002002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2002001111111 - 2¹⁴ = 2002001094727 is a prime.

It is a Duffinian number.

2002001111111 is a modest number, since divided by 1111111 gives 200200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2002001111092 and 2002001111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002001111171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92730260 + ... + 92751846.

It is an arithmetic number, because the mean of its divisors is an integer number (250318818288).

Almost surely, 2^{2002001111111} is an apocalyptic number.

2002001111111 is a deficient number, since it is larger than the sum of its proper divisors (549435193).

2002001111111 is a wasteful number, since it uses less digits than its factorization.

2002001111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42741.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2002001111111 its reverse (1111111002002), we get a palindrome (3113112113113).

It can be divided in two parts, 2002001 and 111111, that added together give a palindrome (2113112).

The spelling of 2002001111111 in words is "two trillion, two billion, one million, one hundred eleven thousand, one hundred eleven".