212100210212000 has 192 divisors, whose sum is σ = 568522801461888. Its totient is φ = 77125027840000.

The previous prime is 212100210211997. The next prime is 212100210212003. The reversal of 212100210212000 is 212012001212.

It is an interprime number because it is at equal distance from previous prime (212100210211997) and next prime (212100210212003).

It is a super-3 number, since 3×212100210212000³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (212100210212003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2266877219 + ... + 2266970781.

It is an arithmetic number, because the mean of its divisors is an integer number (2961056257614).

Almost surely, 2^{212100210212000} is an apocalyptic number.

212100210212000 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 212100210212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284261400730944).

212100210212000 is an abundant number, since it is smaller than the sum of its proper divisors (356422591249888).

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

212100210212000 is a wasteful number, since it uses less digits than its factorization.

212100210212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145120 (or 145102 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212100210212000 its reverse (212012001212), we get a palindrome (212312222213212).

The spelling of 212100210212000 in words is "two hundred twelve trillion, one hundred billion, two hundred ten million, two hundred twelve thousand".