102232111120 has 40 divisors (see below), whose sum is σ = 240043040280. Its totient is φ = 40487961600.

The previous prime is 102232111117. The next prime is 102232111129. The reversal of 102232111120 is 21111232201.

It can be written as a sum of positive squares in 4 ways, for example, as 8647512064 + 93584599056 = 92992^2 + 305916^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102232111094 and 102232111103.

It is not an unprimeable number, because it can be changed into a prime (102232111129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6318165 + ... + 6334324.

It is an arithmetic number, because the mean of its divisors is an integer number (6001076007).

Almost surely, 2^102232111120 is an apocalyptic number.

102232111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102232111120 is an abundant number, since it is smaller than the sum of its proper divisors (137810929160).

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

102232111120 is a wasteful number, since it uses less digits than its factorization.

102232111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12652603 (or 12652597 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102232111120 its reverse (21111232201), we get a palindrome (123343343321).

The spelling of 102232111120 in words is "one hundred two billion, two hundred thirty-two million, one hundred eleven thousand, one hundred twenty".