214127100 has 216 divisors, whose sum is σ = 750701952. Its totient is φ = 50601600.

The previous prime is 214127099. The next prime is 214127101. The reversal of 214127100 is 1721412.

214127100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214127099) and next prime (214127101).

It is a super-3 number, since 3×214127100³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214127101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 425449 + ... + 425951.

It is an arithmetic number, because the mean of its divisors is an integer number (3475472).

Almost surely, 2^214127100 is an apocalyptic number.

214127100 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 214127100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375350976).

214127100 is an abundant number, since it is smaller than the sum of its proper divisors (536574852).

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

214127100 is a wasteful number, since it uses less digits than its factorization.

214127100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 214127100 is about 14633.0823820547. The cubic root of 214127100 is about 598.2607968250.

Adding to 214127100 its reverse (1721412), we get a palindrome (215848512).

It can be divided in two parts, 2141 and 27100, that added together give a square (29241 = 171²).

The spelling of 214127100 in words is "two hundred fourteen million, one hundred twenty-seven thousand, one hundred".