2011110110120 has 32 divisors (see below), whose sum is σ = 4525070869800. Its totient is φ = 804431044608.

The previous prime is 2011110110077. The next prime is 2011110110131. The reversal of 2011110110120 is 210110111102.

It can be written as a sum of positive squares in 4 ways, for example, as 878235128164 + 1132874981956 = 937142^2 + 1064366^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2327072 + ... + 3072048.

Almost surely, 2^{2011110110120} is an apocalyptic number.

2011110110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011110110120 is an abundant number, since it is smaller than the sum of its proper divisors (2513960759680).

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

2011110110120 is a wasteful number, since it uses less digits than its factorization.

2011110110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812477 (or 812473 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2011110110120 its reverse (210110111102), we get a palindrome (2221220221222).

The spelling of 2011110110120 in words is "two trillion, eleven billion, one hundred ten million, one hundred ten thousand, one hundred twenty".