102212023320000 has 1680 divisors, whose sum is σ = 428247886809600. Its totient is φ = 23024701440000.

The previous prime is 102212023319969. The next prime is 102212023320019. The reversal of 102212023320000 is 23320212201.

102212023320000 is a `hidden beast` number, since 10 + 221 + 2 + 0 + 233 + 200 + 0 + 0 = 666.

It is a super-3 number, since 3×102212023320000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5318270391 + ... + 5318289609.

Almost surely, 2^{102212023320000} is an apocalyptic number.

102212023320000 is a gapful number since it is divisible by the number (10) 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 102212023320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214123943404800).

102212023320000 is an abundant number, since it is smaller than the sum of its proper divisors (326035863489600).

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

102212023320000 is a wasteful number, since it uses less digits than its factorization.

102212023320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19364 (or 19336 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102212023320000 its reverse (23320212201), we get a palindrome (102235343532201).

The spelling of 102212023320000 in words is "one hundred two trillion, two hundred twelve billion, twenty-three million, three hundred twenty thousand".