213222102000 has 320 divisors, whose sum is σ = 696924393984. Its totient is φ = 56078131200.

The previous prime is 213222101977. The next prime is 213222102017. The reversal of 213222102000 is 201222312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257825587 + ... + 257826413.

Almost surely, 2^213222102000 is an apocalyptic number.

213222102000 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 213222102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348462196992).

213222102000 is an abundant number, since it is smaller than the sum of its proper divisors (483702291984).

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

213222102000 is a wasteful number, since it uses less digits than its factorization.

213222102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 213222102000 its reverse (201222312), we get a palindrome (213423324312).

The spelling of 213222102000 in words is "two hundred thirteen billion, two hundred twenty-two million, one hundred two thousand".