212112100200 has 768 divisors, whose sum is σ = 888243148800. Its totient is φ = 40437043200.

The previous prime is 212112100157. The next prime is 212112100201. The reversal of 212112100200 is 2001211212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (212112100201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107506414 + ... + 107508386.

It is an arithmetic number, because the mean of its divisors is an integer number (1156566600).

Almost surely, 2^212112100200 is an apocalyptic number.

212112100200 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 212112100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444121574400).

212112100200 is an abundant number, since it is smaller than the sum of its proper divisors (676131048600).

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

212112100200 is a wasteful number, since it uses less digits than its factorization.

212112100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212112100200 its reverse (2001211212), we get a palindrome (214113311412).

The spelling of 212112100200 in words is "two hundred twelve billion, one hundred twelve million, one hundred thousand, two hundred".