2121100112 has 40 divisors (see below), whose sum is σ = 4514026560. Its totient is φ = 961044480.

The previous prime is 2121100103. The next prime is 2121100117. The reversal of 2121100112 is 2110011212.

It is a junction number, because it is equal to n+sod(n) for n = 2121100093 and 2121100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121100117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144689 + ... + 158672.

It is an arithmetic number, because the mean of its divisors is an integer number (112850664).

Almost surely, 2^2121100112 is an apocalyptic number.

It is an amenable number.

2121100112 is an abundant number, since it is smaller than the sum of its proper divisors (2392926448).

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

2121100112 is a wasteful number, since it uses less digits than its factorization.

2121100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303411 (or 303405 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2121100112 is about 46055.4026363900. The cubic root of 2121100112 is about 1284.8538266307.

Adding to 2121100112 its reverse (2110011212), we get a palindrome (4231111324).

Subtracting from 2121100112 its reverse (2110011212), we obtain a square (11088900 = 3330²).

It can be divided in two parts, 2121100 and 112, that added together give a palindrome (2121212).

The spelling of 2121100112 in words is "two billion, one hundred twenty-one million, one hundred thousand, one hundred twelve".