102212212332320 has 192 divisors, whose sum is σ = 252769026746880. Its totient is φ = 38984167292928.

The previous prime is 102212212332283. The next prime is 102212212332353. The reversal of 102212212332320 is 23233212212201.

It is a self number, because there is not a number n which added to its sum of digits gives 102212212332320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4831119182 + ... + 4831140338.

It is an arithmetic number, because the mean of its divisors is an integer number (1316505347640).

Almost surely, 2^{102212212332320} is an apocalyptic number.

102212212332320 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 102212212332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126384513373440).

102212212332320 is an abundant number, since it is smaller than the sum of its proper divisors (150556814414560).

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

102212212332320 is a wasteful number, since it uses less digits than its factorization.

102212212332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25267 (or 25259 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 102212212332320 its reverse (23233212212201), we get a palindrome (125445424544521).

The spelling of 102212212332320 in words is "one hundred two trillion, two hundred twelve billion, two hundred twelve million, three hundred thirty-two thousand, three hundred twenty".