212100211000 has 128 divisors (see below), whose sum is σ = 553168699200. Its totient is φ = 75646771200.

The previous prime is 212100210941. The next prime is 212100211013. The reversal of 212100211000 is 112001212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5329 + ... + 651328.

Almost surely, 2^212100211000 is an apocalyptic number.

212100211000 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 212100211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276584349600).

212100211000 is an abundant number, since it is smaller than the sum of its proper divisors (341068488200).

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

212100211000 is a wasteful number, since it uses less digits than its factorization.

212100211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656714 (or 656700 counting only the distinct ones).

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

Adding to 212100211000 its reverse (112001212), we get a palindrome (212212212212).

The spelling of 212100211000 in words is "two hundred twelve billion, one hundred million, two hundred eleven thousand".