212112200222100 has 432 divisors, whose sum is σ = 685455146812800. Its totient is φ = 54829232640000.

The previous prime is 212112200222089. The next prime is 212112200222101. The reversal of 212112200222100 is 1222002211212.

It is a happy number.

212112200222100 is a `hidden beast` number, since 2 + 1 + 211 + 220 + 0 + 22 + 210 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112200222101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4663731360 + ... + 4663776840.

Almost surely, 2^{212112200222100} is an apocalyptic number.

212112200222100 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 212112200222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342727573406400).

212112200222100 is an abundant number, since it is smaller than the sum of its proper divisors (473342946590700).

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

212112200222100 is a wasteful number, since it uses less digits than its factorization.

212112200222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46352 (or 46342 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212112200222100 its reverse (1222002211212), we get a palindrome (213334202433312).

The spelling of 212112200222100 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred million, two hundred twenty-two thousand, one hundred".