102225033120 has 192 divisors, whose sum is σ = 374248304640. Its totient is φ = 22969648128.

The previous prime is 102225033101. The next prime is 102225033133. The reversal of 102225033120 is 21330522201.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 59592 + ... + 456071.

It is an arithmetic number, because the mean of its divisors is an integer number (1949209920).

Almost surely, 2^102225033120 is an apocalyptic number.

102225033120 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 102225033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187124152320).

102225033120 is an abundant number, since it is smaller than the sum of its proper divisors (272023271520).

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

102225033120 is a wasteful number, since it uses less digits than its factorization.

102225033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515747 (or 515739 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 102225033120 its reverse (21330522201), we get a palindrome (123555555321).

The spelling of 102225033120 in words is "one hundred two billion, two hundred twenty-five million, thirty-three thousand, one hundred twenty".