2214312100 has 216 divisors, whose sum is σ = 6503653184. Its totient is φ = 636768000.

The previous prime is 2214312043. The next prime is 2214312109. The reversal of 2214312100 is 12134122.

It is not an unprimeable number, because it can be changed into a prime (2214312109) 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 71 ways as a sum of consecutive naturals, for example, 1100095 + ... + 1102105.

Almost surely, 2^2214312100 is an apocalyptic number.

2214312100 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 2214312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251826592).

2214312100 is an abundant number, since it is smaller than the sum of its proper divisors (4289341084).

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

2214312100 is a wasteful number, since it uses less digits than its factorization.

2214312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2214312100 is about 47056.4777687408. The cubic root of 2214312100 is about 1303.4056855212.

Adding to 2214312100 its reverse (12134122), we get a palindrome (2226446222).

It can be divided in two parts, 22143 and 12100, that added together give a palindrome (34243).

The spelling of 2214312100 in words is "two billion, two hundred fourteen million, three hundred twelve thousand, one hundred".