102012122320 has 80 divisors (see below), whose sum is σ = 238603134672. Its totient is φ = 40560435200.

The previous prime is 102012122297. The next prime is 102012122327. The reversal of 102012122320 is 23221210201.

It is a happy number.

102012122320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 29401275024 + 72610847296 = 171468^2 + 269464^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 = 102012122294 and 102012122303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012122327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9394014 + ... + 9404866.

Almost surely, 2^102012122320 is an apocalyptic number.

102012122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012122320 is an abundant number, since it is smaller than the sum of its proper divisors (136591012352).

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

102012122320 is a wasteful number, since it uses less digits than its factorization.

102012122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11560 (or 11554 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102012122320 its reverse (23221210201), we get a palindrome (125233332521).

It can be divided in two parts, 1020121 and 22320, that added together give a square (1042441 = 1021²).

The spelling of 102012122320 in words is "one hundred two billion, twelve million, one hundred twenty-two thousand, three hundred twenty".