211234100 has 108 divisors (see below), whose sum is σ = 581837760. Its totient is φ = 65822400.

The previous prime is 211234099. The next prime is 211234193. The reversal of 211234100 is 1432112.

211234100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51941 + ... + 55859.

Almost surely, 2^211234100 is an apocalyptic number.

211234100 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 211234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290918880).

211234100 is an abundant number, since it is smaller than the sum of its proper divisors (370603660).

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

211234100 is a wasteful number, since it uses less digits than its factorization.

211234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 211234100 is about 14533.8948668277. The cubic root of 211234100 is about 595.5542701318.

Adding to 211234100 its reverse (1432112), we get a palindrome (212666212).

The spelling of 211234100 in words is "two hundred eleven million, two hundred thirty-four thousand, one hundred".