102232332333120 has 896 divisors, whose sum is σ = 364868261904384. Its totient is φ = 24037171200000.

The previous prime is 102232332333113. The next prime is 102232332333133. The reversal of 102232332333120 is 21333233232201.

102232332333120 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 (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88820444545 + ... + 88820445695.

It is an arithmetic number, because the mean of its divisors is an integer number (407219042304).

Almost surely, 2^{102232332333120} is an apocalyptic number.

102232332333120 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 102232332333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182434130952192).

102232332333120 is an abundant number, since it is smaller than the sum of its proper divisors (262635929571264).

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

102232332333120 is a wasteful number, since it uses less digits than its factorization.

102232332333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 102232332333120 its reverse (21333233232201), we get a palindrome (123565565565321).

The spelling of 102232332333120 in words is "one hundred two trillion, two hundred thirty-two billion, three hundred thirty-two million, three hundred thirty-three thousand, one hundred twenty".