102213210330000 has 2400 divisors, whose sum is σ = 459535979814912. Its totient is φ = 20584627200000.

The previous prime is 102213210329969. The next prime is 102213210330013. The reversal of 102213210330000 is 33012312201.

102213210330000 is a `hidden beast` number, since 10 + 2 + 2 + 1 + 321 + 0 + 330 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 46313188897 + ... + 46313191103.

Almost surely, 2^{102213210330000} is an apocalyptic number.

102213210330000 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 102213210330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229767989907456).

102213210330000 is an abundant number, since it is smaller than the sum of its proper divisors (357322769484912).

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

102213210330000 is a wasteful number, since it uses less digits than its factorization.

102213210330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102213210330000 its reverse (33012312201), we get a palindrome (102246222642201).

The spelling of 102213210330000 in words is "one hundred two trillion, two hundred thirteen billion, two hundred ten million, three hundred thirty thousand".