102012321120 has 192 divisors, whose sum is σ = 330814181376. Its totient is φ = 26404669440.

The previous prime is 102012321097. The next prime is 102012321217. The reversal of 102012321120 is 21123210201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102012321120.

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 31 ways as a sum of consecutive naturals, for example, 7647897 + ... + 7661223.

It is an arithmetic number, because the mean of its divisors is an integer number (1722990528).

Almost surely, 2^102012321120 is an apocalyptic number.

102012321120 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 102012321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165407090688).

102012321120 is an abundant number, since it is smaller than the sum of its proper divisors (228801860256).

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

102012321120 is a wasteful number, since it uses less digits than its factorization.

102012321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13813 (or 13805 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102012321120 its reverse (21123210201), we get a palindrome (123135531321).

The spelling of 102012321120 in words is "one hundred two billion, twelve million, three hundred twenty-one thousand, one hundred twenty".