212000122122100 has 288 divisors, whose sum is σ = 502478381512800. Its totient is φ = 77169858969600.

The previous prime is 212000122122083. The next prime is 212000122122119. The reversal of 212000122122100 is 1221221000212.

It is a happy number.

It can be written as a sum of positive squares in 48 ways, for example, as 195048094585444 + 16952027536656 = 13965962^2 + 4117284^2 .

It is a super-3 number, since 3×212000122122100³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41724091560 + ... + 41724096640.

It is an arithmetic number, because the mean of its divisors is an integer number (1744716602475).

Almost surely, 2^{212000122122100} is an apocalyptic number.

212000122122100 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 212000122122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251239190756400).

212000122122100 is an abundant number, since it is smaller than the sum of its proper divisors (290478259390700).

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

212000122122100 is a wasteful number, since it uses less digits than its factorization.

212000122122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6423 (or 6416 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212000122122100 its reverse (1221221000212), we get a palindrome (213221343122312).

The spelling of 212000122122100 in words is "two hundred twelve trillion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred".