212111310010000 has 200 divisors, whose sum is σ = 538170645767040. Its totient is φ = 80807303808000.

The previous prime is 212111310009917. The next prime is 212111310010013. The reversal of 212111310010000 is 10013111212.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51610981 + ... + 55569019.

Almost surely, 2^{212111310010000} is an apocalyptic number.

212111310010000 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 212111310010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269085322883520).

212111310010000 is an abundant number, since it is smaller than the sum of its proper divisors (326059335757040).

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

212111310010000 is a wasteful number, since it uses less digits than its factorization.

212111310010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958323 (or 3958302 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 212111310010000 its reverse (10013111212), we get a palindrome (212121323121212).

The spelling of 212111310010000 in words is "two hundred twelve trillion, one hundred eleven billion, three hundred ten million, ten thousand".