102221221320 has 256 divisors, whose sum is σ = 367422048000. Its totient is φ = 25194240000.

The previous prime is 102221221313. The next prime is 102221221337. The reversal of 102221221320 is 23122122201.

102221221320 is a `hidden beast` number, since 1 + 0 + 222 + 122 + 1 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102221221293 and 102221221302.

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 63 ways as a sum of consecutive naturals, for example, 780570 + ... + 902070.

It is an arithmetic number, because the mean of its divisors is an integer number (1435242375).

Almost surely, 2^102221221320 is an apocalyptic number.

102221221320 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 102221221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183711024000).

102221221320 is an abundant number, since it is smaller than the sum of its proper divisors (265200826680).

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

102221221320 is a wasteful number, since it uses less digits than its factorization.

102221221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121581 (or 121571 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102221221320 its reverse (23122122201), we get a palindrome (125343343521).

The spelling of 102221221320 in words is "one hundred two billion, two hundred twenty-one million, two hundred twenty-one thousand, three hundred twenty".