2002111112011 has 16 divisors (see below), whose sum is σ = 2127468841344. Its totient is φ = 1877598459904.

The previous prime is 2002111111993. The next prime is 2002111112081. The reversal of 2002111112011 is 1102111112002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2002111112011 - 2¹⁷ = 2002110980939 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002111111982 and 2002111112000.

It is not an unprimeable number, because it can be changed into a prime (2002111112081) 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, 33527166 + ... + 33586828.

It is an arithmetic number, because the mean of its divisors is an integer number (132966802584).

Almost surely, 2^{2002111112011} is an apocalyptic number.

2002111112011 is a deficient number, since it is larger than the sum of its proper divisors (125357729333).

2002111112011 is a wasteful number, since it uses less digits than its factorization.

2002111112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66710.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2002111112011 its reverse (1102111112002), we get a palindrome (3104222224013).

Subtracting from 2002111112011 its reverse (1102111112002), we obtain a palindrome (900000000009).

The spelling of 2002111112011 in words is "two trillion, two billion, one hundred eleven million, one hundred twelve thousand, eleven".