2002011011011 has 16 divisors (see below), whose sum is σ = 2243106448128. Its totient is φ = 1770767589600.

The previous prime is 2002011010999. The next prime is 2002011011017. The reversal of 2002011011011 is 1101101102002.

It is a cyclic number.

It is not a de Polignac number, because 2002011011011 - 2³⁹ = 1452255197123 is a prime.

It is a Duffinian number.

2002011011011 is a modest number, since divided by 11011011 gives 2002 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2002011011017) 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, 20865016 + ... + 20960746.

It is an arithmetic number, because the mean of its divisors is an integer number (140194153008).

Almost surely, 2^{2002011011011} is an apocalyptic number.

2002011011011 is a deficient number, since it is larger than the sum of its proper divisors (241095437117).

2002011011011 is a wasteful number, since it uses less digits than its factorization.

2002011011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147162.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2002011011011 its reverse (1101101102002), we get a palindrome (3103112113013).

Subtracting from 2002011011011 its reverse (1101101102002), we obtain a palindrome (900909909009).

The spelling of 2002011011011 in words is "two trillion, two billion, eleven million, eleven thousand, eleven".