214213314100 has 36 divisors (see below), whose sum is σ = 466037945100. Its totient is φ = 85465039360.

The previous prime is 214213314067. The next prime is 214213314109. The reversal of 214213314100 is 1413312412.

It can be written as a sum of positive squares in 6 ways, for example, as 1179372964 + 213033941136 = 34342^2 + 461556^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214213314109) 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 11 ways as a sum of consecutive naturals, for example, 2714485 + ... + 2792284.

It is an arithmetic number, because the mean of its divisors is an integer number (12945498475).

Almost surely, 2^214213314100 is an apocalyptic number.

214213314100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214213314100 is an abundant number, since it is smaller than the sum of its proper divisors (251824631000).

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

214213314100 is a wasteful number, since it uses less digits than its factorization.

214213314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507172 (or 5507165 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 214213314100 its reverse (1413312412), we get a palindrome (215626626512).

The spelling of 214213314100 in words is "two hundred fourteen billion, two hundred thirteen million, three hundred fourteen thousand, one hundred".