2002001100011 has 8 divisors (see below), whose sum is σ = 2216598233664. Its totient is φ = 1792836805320.

The previous prime is 2002001099983. The next prime is 2002001100037. The reversal of 2002001100011 is 1100011002002.

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

It is not a de Polignac number, because 2002001100011 - 2²⁶ = 2001933991147 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002001100061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1358208965 + ... + 1358210438.

It is an arithmetic number, because the mean of its divisors is an integer number (277074779208).

Almost surely, 2^{2002001100011} is an apocalyptic number.

2002001100011 is a deficient number, since it is larger than the sum of its proper divisors (214597133653).

2002001100011 is a wasteful number, since it uses less digits than its factorization.

2002001100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716419481.

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

Adding to 2002001100011 its reverse (1100011002002), we get a palindrome (3102012102013).

It can be divided in two parts, 2002001 and 100011, that added together give a palindrome (2102012).

The spelling of 2002001100011 in words is "two trillion, two billion, one million, one hundred thousand, eleven".