102212122221120 has 224 divisors, whose sum is σ = 334969262496000. Its totient is φ = 26386634317824.

The previous prime is 102212122221089. The next prime is 102212122221161. The reversal of 102212122221120 is 21122221212201.

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, 161655 + ... + 14298614.

Almost surely, 2^{102212122221120} is an apocalyptic number.

102212122221120 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 102212122221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167484631248000).

102212122221120 is an abundant number, since it is smaller than the sum of its proper divisors (232757140274880).

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

102212122221120 is a wasteful number, since it uses less digits than its factorization.

102212122221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14460525 (or 14460515 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 102212122221120 its reverse (21122221212201), we get a palindrome (123334343433321).

The spelling of 102212122221120 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".