2002111120 has 20 divisors (see below), whose sum is σ = 4654908540. Its totient is φ = 800844416.

The previous prime is 2002111117. The next prime is 2002111151. The reversal of 2002111120 is 211112002.

It can be written as a sum of positive squares in 2 ways, for example, as 880664976 + 1121446144 = 29676^2 + 33488^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2002111097 and 2002111106.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12513115 + ... + 12513274.

It is an arithmetic number, because the mean of its divisors is an integer number (232745427).

Almost surely, 2^2002111120 is an apocalyptic number.

2002111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002111120 is an abundant number, since it is smaller than the sum of its proper divisors (2652797420).

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

2002111120 is a wasteful number, since it uses less digits than its factorization.

2002111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25026402 (or 25026396 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2002111120 is about 44744.9563638183. The cubic root of 2002111120 is about 1260.3642014282.

Adding to 2002111120 its reverse (211112002), we get a palindrome (2213223122).

The spelling of 2002111120 in words is "two billion, two million, one hundred eleven thousand, one hundred twenty".