2121112100 has 72 divisors (see below), whose sum is σ = 4906435968. Its totient is φ = 793152000.

The previous prime is 2121112093. The next prime is 2121112157. The reversal of 2121112100 is 12111212.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 252569 + ... + 260831.

It is an arithmetic number, because the mean of its divisors is an integer number (68144944).

Almost surely, 2^2121112100 is an apocalyptic number.

2121112100 is a gapful number since it is divisible by the number (20) 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 2121112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453217984).

2121112100 is an abundant number, since it is smaller than the sum of its proper divisors (2785323868).

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

2121112100 is a wasteful number, since it uses less digits than its factorization.

2121112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8445 (or 8438 counting only the distinct ones).

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

The square root of 2121112100 is about 46055.5327838035. The cubic root of 2121112100 is about 1284.8562471983.

Adding to 2121112100 its reverse (12111212), we get a palindrome (2133223312).

It can be divided in two parts, 2121112 and 100, that added together give a palindrome (2121212).

The spelling of 2121112100 in words is "two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred".