212100212110000 has 100 divisors (see below), whose sum is σ = 513531008412400. Its totient is φ = 84837576096000.

The previous prime is 212100212109967. The next prime is 212100212110009. The reversal of 212100212110000 is 11212001212.

212100212110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (212100212110009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 358394341 + ... + 358985659.

It is an arithmetic number, because the mean of its divisors is an integer number (5135310084124).

Almost surely, 2^{212100212110000} is an apocalyptic number.

212100212110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100212110000 is an abundant number, since it is smaller than the sum of its proper divisors (301430796302400).

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

212100212110000 is an equidigital number, since it uses as much as digits as its factorization.

212100212110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627216 (or 627195 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212100212110000 its reverse (11212001212), we get a palindrome (212111424111212).

The spelling of 212100212110000 in words is "two hundred twelve trillion, one hundred billion, two hundred twelve million, one hundred ten thousand".