2002110114 has 64 divisors (see below), whose sum is σ = 4215214080. Its totient is φ = 633360000.

The previous prime is 2002110113. The next prime is 2002110119. The reversal of 2002110114 is 4110112002.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2002110114.

It is not an unprimeable number, because it can be changed into a prime (2002110113) 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 31 ways as a sum of consecutive naturals, for example, 1379089 + ... + 1380539.

It is an arithmetic number, because the mean of its divisors is an integer number (65862720).

Almost surely, 2^2002110114 is an apocalyptic number.

2002110114 is an abundant number, since it is smaller than the sum of its proper divisors (2213103966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002110114 is a wasteful number, since it uses less digits than its factorization.

2002110114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2002110114 is about 44744.9451223264. The cubic root of 2002110114 is about 1260.3639903300.

Adding to 2002110114 its reverse (4110112002), we get a palindrome (6112222116).

It can be divided in two parts, 20021 and 10114, that added together give a triangular number (30135 = T₂₄₅).

The spelling of 2002110114 in words is "two billion, two million, one hundred ten thousand, one hundred fourteen".