2002000101011 has 12 divisors (see below), whose sum is σ = 2113747385400. Its totient is φ = 1895883807168.

The previous prime is 2002000100999. The next prime is 2002000101029. The reversal of 2002000101011 is 1101010002002.

It is not a de Polignac number, because 2002000101011 - 2¹⁰ = 2002000099987 is a prime.

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 2002000101011.

It is not an unprimeable number, because it can be changed into a prime (2002000101091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175526 + ... + 2008683.

It is an arithmetic number, because the mean of its divisors is an integer number (176145615450).

Almost surely, 2^{2002000101011} is an apocalyptic number.

2002000101011 is a deficient number, since it is larger than the sum of its proper divisors (111747284389).

2002000101011 is a wasteful number, since it uses less digits than its factorization.

2002000101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186786 (or 2186767 counting only the distinct ones).

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

Adding to 2002000101011 its reverse (1101010002002), we get a palindrome (3103010103013).

Subtracting from 2002000101011 its reverse (1101010002002), we obtain a palindrome (900990099009).

The spelling of 2002000101011 in words is "two trillion, two billion, one hundred one thousand, eleven".