2112120010 has 192 divisors, whose sum is σ = 5324102784. Its totient is φ = 592704000.

The previous prime is 2112119959. The next prime is 2112120019. The reversal of 2112120010 is 100212112.

2112120010 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112120010² = 8922101873284800200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2112120019) 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 95 ways as a sum of consecutive naturals, for example, 3012660 + ... + 3013360.

It is an arithmetic number, because the mean of its divisors is an integer number (27729702).

Almost surely, 2^2112120010 is an apocalyptic number.

2112120010 is an abundant number, since it is smaller than the sum of its proper divisors (3211982774).

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

2112120010 is a wasteful number, since it uses less digits than its factorization.

2112120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 782 counting only the distinct ones).

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

The square root of 2112120010 is about 45957.8068449747. The cubic root of 2112120010 is about 1283.0380330655.

Adding to 2112120010 its reverse (100212112), we get a palindrome (2212332122).

The spelling of 2112120010 in words is "two billion, one hundred twelve million, one hundred twenty thousand, ten".