102222303303120 has 1280 divisors, whose sum is σ = 448067641835520. Its totient is φ = 18566798745600.

The previous prime is 102222303303053. The next prime is 102222303303121. The reversal of 102222303303120 is 21303303222201.

102222303303120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222303303121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15277578975 + ... + 15277585665.

It is an arithmetic number, because the mean of its divisors is an integer number (350052845184).

Almost surely, 2^{102222303303120} is an apocalyptic number.

102222303303120 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 102222303303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224033820917760).

102222303303120 is an abundant number, since it is smaller than the sum of its proper divisors (345845338532400).

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

102222303303120 is a wasteful number, since it uses less digits than its factorization.

102222303303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10104 (or 10098 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 102222303303120 its reverse (21303303222201), we get a palindrome (123525606525321).

It can be divided in two parts, 102 and 222303303120, that added together give a palindrome (222303303222).

The spelling of 102222303303120 in words is "one hundred two trillion, two hundred twenty-two billion, three hundred three million, three hundred three thousand, one hundred twenty".