102442302220 has 192 divisors, whose sum is σ = 236641305600. Its totient is φ = 37131494400.

The previous prime is 102442302211. The next prime is 102442302239. The reversal of 102442302220 is 22203244201.

It is a junction number, because it is equal to n+sod(n) for n = 102442302191 and 102442302200.

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, 187279987 + ... + 187280533.

It is an arithmetic number, because the mean of its divisors is an integer number (1232506800).

Almost surely, 2^102442302220 is an apocalyptic number.

102442302220 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 102442302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118320652800).

102442302220 is an abundant number, since it is smaller than the sum of its proper divisors (134199003380).

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

102442302220 is a wasteful number, since it uses less digits than its factorization.

102442302220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 102442302220 its reverse (22203244201), we get a palindrome (124645546421).

The spelling of 102442302220 in words is "one hundred two billion, four hundred forty-two million, three hundred two thousand, two hundred twenty".