213121221100000 has 288 divisors, whose sum is σ = 546722823999744. Its totient is φ = 81681600000000.

The previous prime is 213121221099989. The next prime is 213121221100003. The reversal of 213121221100000 is 1122121312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213121221100003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312759660 + ... + 313440340.

It is an arithmetic number, because the mean of its divisors is an integer number (1898343138888).

Almost surely, 2^{213121221100000} is an apocalyptic number.

213121221100000 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 213121221100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273361411999872).

213121221100000 is an abundant number, since it is smaller than the sum of its proper divisors (333601602899744).

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

213121221100000 is an equidigital number, since it uses as much as digits as its factorization.

213121221100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680848 (or 680820 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 213121221100000 its reverse (1122121312), we get a palindrome (213122343221312).

The spelling of 213121221100000 in words is "two hundred thirteen trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred thousand".