212201100210000 has 800 divisors, whose sum is σ = 752336007413760. Its totient is φ = 51096320000000.

The previous prime is 212201100209993. The next prime is 212201100210007. The reversal of 212201100210000 is 12001102212.

It is an interprime number because it is at equal distance from previous prime (212201100209993) and next prime (212201100210007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201100210007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31723886656 + ... + 31723893344.

Almost surely, 2^{212201100210000} is an apocalyptic number.

212201100210000 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 212201100210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376168003706880).

212201100210000 is an abundant number, since it is smaller than the sum of its proper divisors (540134907203760).

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

212201100210000 is a wasteful number, since it uses less digits than its factorization.

212201100210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7365 (or 7344 counting only the distinct ones).

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

Adding to 212201100210000 its reverse (12001102212), we get a palindrome (212213101312212).

The spelling of 212201100210000 in words is "two hundred twelve trillion, two hundred one billion, one hundred million, two hundred ten thousand".