212112221101000 has 256 divisors, whose sum is σ = 546911879005440. Its totient is φ = 76356000000000.

The previous prime is 212112221100979. The next prime is 212112221101007. The reversal of 212112221101000 is 101122211212.

212112221101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212112221101007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10100090500 + ... + 10100111500.

It is an arithmetic number, because the mean of its divisors is an integer number (2136374527365).

Almost surely, 2^{212112221101000} is an apocalyptic number.

212112221101000 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 212112221101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273455939502720).

212112221101000 is an abundant number, since it is smaller than the sum of its proper divisors (334799657904440).

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

212112221101000 is a wasteful number, since it uses less digits than its factorization.

212112221101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30225 (or 30211 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212112221101000 its reverse (101122211212), we get a palindrome (212213343312212).

The spelling of 212112221101000 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twenty-one million, one hundred one thousand".