210011111112 has 128 divisors (see below), whose sum is σ = 590368717440. Its totient is φ = 61695406080.

The previous prime is 210011111099. The next prime is 210011111179. The reversal of 210011111112 is 211111110012.

210011111112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2666928 + ... + 2744544.

It is an arithmetic number, because the mean of its divisors is an integer number (4612255605).

Almost surely, 2^210011111112 is an apocalyptic number.

210011111112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210011111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295184358720).

210011111112 is an abundant number, since it is smaller than the sum of its proper divisors (380357606328).

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

210011111112 is a wasteful number, since it uses less digits than its factorization.

210011111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77951 (or 77947 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 210011111112 its reverse (211111110012), we get a palindrome (421122221124).

It can be divided in two parts, 210011 and 111112, that added together give a palindrome (321123).

The spelling of 210011111112 in words is "two hundred ten billion, eleven million, one hundred eleven thousand, one hundred twelve".