212100112000 has 512 divisors, whose sum is σ = 634514549760. Its totient is φ = 68935680000.

The previous prime is 212100111947. The next prime is 212100112013. The reversal of 212100112000 is 211001212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352911700 + ... + 352912300.

It is an arithmetic number, because the mean of its divisors is an integer number (1239286230).

Almost surely, 2^212100112000 is an apocalyptic number.

212100112000 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 212100112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317257274880).

212100112000 is an abundant number, since it is smaller than the sum of its proper divisors (422414437760).

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

212100112000 is a wasteful number, since it uses less digits than its factorization.

212100112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 775 counting only the distinct ones).

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

Adding to 212100112000 its reverse (211001212), we get a palindrome (212311113212).

The spelling of 212100112000 in words is "two hundred twelve billion, one hundred million, one hundred twelve thousand".