212122212101100 has 216 divisors, whose sum is σ = 774206052328800. Its totient is φ = 47570264202240.

The previous prime is 212122212101087. The next prime is 212122212101119. The reversal of 212122212101100 is 1101212221212.

212122212101100 is a `hidden beast` number, since 2 + 121 + 2 + 221 + 210 + 110 + 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 71 ways as a sum of consecutive naturals, for example, 317309425 + ... + 317977224.

It is an arithmetic number, because the mean of its divisors is an integer number (3584287279300).

Almost surely, 2^{212122212101100} is an apocalyptic number.

212122212101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122212101100 is an abundant number, since it is smaller than the sum of its proper divisors (562083840227700).

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

212122212101100 is a wasteful number, since it uses less digits than its factorization.

212122212101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635286729 (or 635286719 counting only the distinct ones).

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

Adding to 212122212101100 its reverse (1101212221212), we get a palindrome (213223424322312).

The spelling of 212122212101100 in words is "two hundred twelve trillion, one hundred twenty-two billion, two hundred twelve million, one hundred one thousand, one hundred".