2100012112 has 60 divisors (see below), whose sum is σ = 4481189748. Its totient is φ = 952652800.

The previous prime is 2100012017. The next prime is 2100012121. The reversal of 2100012112 is 2112100012.

It can be written as a sum of positive squares in 2 ways, for example, as 664814656 + 1435197456 = 25784^2 + 37884^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1542312 + ... + 1543672.

Almost surely, 2^2100012112 is an apocalyptic number.

2100012112 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 2100012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240594874).

2100012112 is an abundant number, since it is smaller than the sum of its proper divisors (2381177636).

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

2100012112 is a wasteful number, since it uses less digits than its factorization.

2100012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2171 counting only the distinct ones).

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

The square root of 2100012112 is about 45825.8891021222. The cubic root of 2100012112 is about 1280.5816269470.

Adding to 2100012112 its reverse (2112100012), we get a palindrome (4212112124).

The spelling of 2100012112 in words is "two billion, one hundred million, twelve thousand, one hundred twelve".