102221311413312 has 672 divisors, whose sum is σ = 365187146688000. Its totient is φ = 26778184962048.

The previous prime is 102221311413301. The next prime is 102221311413323. The reversal of 102221311413312 is 213314113122201.

102221311413312 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 21 + 311 + 4 + 13 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (102221311413301) and next prime (102221311413323).

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1319848573 + ... + 1319926019.

It is an arithmetic number, because the mean of its divisors is an integer number (543433254000).

Almost surely, 2^{102221311413312} is an apocalyptic number.

102221311413312 is a gapful number since it is divisible by the number (12) 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 102221311413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182593573344000).

102221311413312 is an abundant number, since it is smaller than the sum of its proper divisors (262965835274688).

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

102221311413312 is a wasteful number, since it uses less digits than its factorization.

102221311413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77660 (or 77621 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 102221311413312 its reverse (213314113122201), we get a palindrome (315535424535513).

The spelling of 102221311413312 in words is "one hundred two trillion, two hundred twenty-one billion, three hundred eleven million, four hundred thirteen thousand, three hundred twelve".