2112012100 has 36 divisors (see below), whose sum is σ = 4999711248. Its totient is φ = 768004000.

The previous prime is 2112012073. The next prime is 2112012103. The reversal of 2112012100 is 12102112.

It is a super-2 number, since 2×2112012100² = 8921190221092820000, 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 (2112012103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 958906 + ... + 961105.

It is an arithmetic number, because the mean of its divisors is an integer number (138880868).

Almost surely, 2^2112012100 is an apocalyptic number.

2112012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112012100 is an abundant number, since it is smaller than the sum of its proper divisors (2887699148).

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

2112012100 is a wasteful number, since it uses less digits than its factorization.

2112012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920036 (or 1920029 counting only the distinct ones).

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

The square root of 2112012100 is about 45956.6328183430. The cubic root of 2112012100 is about 1283.0161821935.

Adding to 2112012100 its reverse (12102112), we get a palindrome (2124114212).

It can be divided in two parts, 2112012 and 100, that added together give a palindrome (2112112).

The spelling of 2112012100 in words is "two billion, one hundred twelve million, twelve thousand, one hundred".