212102100210000 has 6400 divisors, whose sum is σ = 1016796920832000. Its totient is φ = 37391155200000.

The previous prime is 212102100209963. The next prime is 212102100210031. The reversal of 212102100210000 is 12001201212.

212102100210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 1525914389931 + ... + 1525914390069.

It is an arithmetic number, because the mean of its divisors is an integer number (158874518880).

Almost surely, 2^{212102100210000} is an apocalyptic number.

212102100210000 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 212102100210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508398460416000).

212102100210000 is an abundant number, since it is smaller than the sum of its proper divisors (804694820622000).

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

212102100210000 is a wasteful number, since it uses less digits than its factorization.

212102100210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212102100210000 its reverse (12001201212), we get a palindrome (212114101411212).

The spelling of 212102100210000 in words is "two hundred twelve trillion, one hundred two billion, one hundred million, two hundred ten thousand".