212112201221100 has 108 divisors (see below), whose sum is σ = 664871600070496. Its totient is φ = 56561748716160.

The previous prime is 212112201221047. The next prime is 212112201221197. The reversal of 212112201221100 is 1122102211212.

212112201221100 is a `hidden beast` number, since 2 + 1 + 211 + 220 + 1 + 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 35 ways as a sum of consecutive naturals, for example, 30915309 + ... + 37148091.

Almost surely, 2^{212112201221100} is an apocalyptic number.

212112201221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112201221100 is an abundant number, since it is smaller than the sum of its proper divisors (452759398849396).

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

212112201221100 is a wasteful number, since it uses less digits than its factorization.

212112201221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6270616 (or 6270606 counting only the distinct ones).

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

Adding to 212112201221100 its reverse (1122102211212), we get a palindrome (213234303432312).

The spelling of 212112201221100 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred one million, two hundred twenty-one thousand, one hundred".