102322212120 has 256 divisors, whose sum is σ = 352498176000. Its totient is φ = 26374118400.

The previous prime is 102322212073. The next prime is 102322212133. The reversal of 102322212120 is 21212223201.

102322212120 is a `hidden beast` number, since 1 + 0 + 232 + 221 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102322212093 and 102322212102.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 43154535 + ... + 43156905.

It is an arithmetic number, because the mean of its divisors is an integer number (1376946000).

Almost surely, 2^102322212120 is an apocalyptic number.

102322212120 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 102322212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176249088000).

102322212120 is an abundant number, since it is smaller than the sum of its proper divisors (250175963880).

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

102322212120 is a wasteful number, since it uses less digits than its factorization.

102322212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102322212120 its reverse (21212223201), we get a palindrome (123534435321).

The spelling of 102322212120 in words is "one hundred two billion, three hundred twenty-two million, two hundred twelve thousand, one hundred twenty".