212112222121100 has 576 divisors, whose sum is σ = 555954686622720. Its totient is φ = 68717376000000.

The previous prime is 212112222121097. The next prime is 212112222121141. The reversal of 212112222121100 is 1121222211212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74399234675 + ... + 74399237525.

It is an arithmetic number, because the mean of its divisors is an integer number (965199108720).

Almost surely, 2^{212112222121100} is an apocalyptic number.

212112222121100 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 212112222121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277977343311360).

212112222121100 is an abundant number, since it is smaller than the sum of its proper divisors (343842464501620).

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

212112222121100 is a wasteful number, since it uses less digits than its factorization.

212112222121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212112222121100 its reverse (1121222211212), we get a palindrome (213233444332312).

The spelling of 212112222121100 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred".