213321122102000 has 320 divisors, whose sum is σ = 565661720332800. Its totient is φ = 77163935744000.

The previous prime is 213321122101957. The next prime is 213321122102009. The reversal of 213321122102000 is 201221123312.

It is a super-2 number, since 2×213321122102000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213321122102009) 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, 6077680451 + ... + 6077715549.

It is an arithmetic number, because the mean of its divisors is an integer number (1767692876040).

Almost surely, 2^{213321122102000} is an apocalyptic number.

213321122102000 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 213321122102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282830860166400).

213321122102000 is an abundant number, since it is smaller than the sum of its proper divisors (352340598230800).

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

213321122102000 is a wasteful number, since it uses less digits than its factorization.

213321122102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36577 (or 36561 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 213321122102000 its reverse (201221123312), we get a palindrome (213522343225312).

The spelling of 213321122102000 in words is "two hundred thirteen trillion, three hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand".