211212100 has 72 divisors (see below), whose sum is σ = 503592768. Its totient is φ = 76252800.

The previous prime is 211212091. The next prime is 211212101. The reversal of 211212100 is 1212112.

211212100 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-2 number, since 2×211212100² = 89221102372820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172089 + ... + 173311.

It is an arithmetic number, because the mean of its divisors is an integer number (6994344).

Almost surely, 2^211212100 is an apocalyptic number.

211212100 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 211212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251796384).

211212100 is an abundant number, since it is smaller than the sum of its proper divisors (292380668).

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

211212100 is a wasteful number, since it uses less digits than its factorization.

211212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 211212100 is about 14533.1379956292. The cubic root of 211212100 is about 595.5335937845.

Adding to 211212100 its reverse (1212112), we get a palindrome (212424212).

It can be divided in two parts, 21 and 1212100, that added together give a palindrome (1212121).

The spelling of 211212100 in words is "two hundred eleven million, two hundred twelve thousand, one hundred".