213211441004100 has 288 divisors, whose sum is σ = 769181669222400. Its totient is φ = 44299652275200.

The previous prime is 213211441004099. The next prime is 213211441004123. The reversal of 213211441004100 is 1400144112312.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 257359336 + ... + 258186464.

It is an arithmetic number, because the mean of its divisors is an integer number (2670769684800).

Almost surely, 2^{213211441004100} is an apocalyptic number.

213211441004100 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 213211441004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384590834611200).

213211441004100 is an abundant number, since it is smaller than the sum of its proper divisors (555970228218300).

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

213211441004100 is a wasteful number, since it uses less digits than its factorization.

213211441004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838323 (or 838316 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 213211441004100 its reverse (1400144112312), we get a palindrome (214611585116412).

The spelling of 213211441004100 in words is "two hundred thirteen trillion, two hundred eleven billion, four hundred forty-one million, four thousand, one hundred".