212112012221100 has 432 divisors, whose sum is σ = 704454445502080. Its totient is φ = 53234234726400.

The previous prime is 212112012221047. The next prime is 212112012221111. The reversal of 212112012221100 is 1122210211212.

212112012221100 is a `hidden beast` number, since 21 + 211 + 201 + 2 + 221 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1973576964 + ... + 1973684436.

Almost surely, 2^{212112012221100} is an apocalyptic number.

212112012221100 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 212112012221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352227222751040).

212112012221100 is an abundant number, since it is smaller than the sum of its proper divisors (492342433280980).

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

212112012221100 is a wasteful number, since it uses less digits than its factorization.

212112012221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108270 (or 108260 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212112012221100 its reverse (1122210211212), we get a palindrome (213234222432312).

The spelling of 212112012221100 in words is "two hundred twelve trillion, one hundred twelve billion, twelve million, two hundred twenty-one thousand, one hundred".