214011343100 has 72 divisors (see below), whose sum is σ = 497132764800. Its totient is φ = 79724433600.

The previous prime is 214011343093. The next prime is 214011343187. The reversal of 214011343100 is 1343110412.

214011343100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×214011343100³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 842456 + ... + 1066655.

Almost surely, 2^214011343100 is an apocalyptic number.

214011343100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214011343100 is an abundant number, since it is smaller than the sum of its proper divisors (283121421700).

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

214011343100 is a wasteful number, since it uses less digits than its factorization.

214011343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909203 (or 1909196 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 214011343100 its reverse (1343110412), we get a palindrome (215354453512).

The spelling of 214011343100 in words is "two hundred fourteen billion, eleven million, three hundred forty-three thousand, one hundred".