211400100 has 216 divisors, whose sum is σ = 720844488. Its totient is φ = 51609600.

The previous prime is 211400081. The next prime is 211400113. The reversal of 211400100 is 1004112.

It is a happy number.

211400100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 106378596 + 105021504 = 10314^2 + 10248^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 627132 + ... + 627468.

It is an arithmetic number, because the mean of its divisors is an integer number (3337243).

Almost surely, 2^211400100 is an apocalyptic number.

211400100 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 211400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360422244).

211400100 is an abundant number, since it is smaller than the sum of its proper divisors (509444388).

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

211400100 is a wasteful number, since it uses less digits than its factorization.

211400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 211400100 is about 14539.6045338242. The cubic root of 211400100 is about 595.7102363055.

Adding to 211400100 its reverse (1004112), we get a palindrome (212404212).

The spelling of 211400100 in words is "two hundred eleven million, four hundred thousand, one hundred".