212000210110000 has 200 divisors, whose sum is σ = 553292787557664. Its totient is φ = 78201027840000.

The previous prime is 212000210109937. The next prime is 212000210110001. The reversal of 212000210110000 is 11012000212.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (212000210110001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 133239132 + ... + 134820868.

Almost surely, 2^{212000210110000} is an apocalyptic number.

212000210110000 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 212000210110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276646393778832).

212000210110000 is an abundant number, since it is smaller than the sum of its proper divisors (341292577447664).

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

212000210110000 is a wasteful number, since it uses less digits than its factorization.

212000210110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582809 (or 1582788 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212000210110000 its reverse (11012000212), we get a palindrome (212011222110212).

The spelling of 212000210110000 in words is "two hundred twelve trillion, two hundred ten million, one hundred ten thousand".