102120303330 has 96 divisors (see below), whose sum is σ = 274757184000. Its totient is φ = 26284546176.

The previous prime is 102120303319. The next prime is 102120303367. The reversal of 102120303330 is 33303021201.

102120303330 is a `hidden beast` number, since 10 + 2 + 1 + 20 + 303 + 330 = 666.

It is a super-2 number, since 2×102120303330² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14087767 + ... + 14095013.

It is an arithmetic number, because the mean of its divisors is an integer number (2862054000).

Almost surely, 2^102120303330 is an apocalyptic number.

102120303330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102120303330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137378592000).

102120303330 is an abundant number, since it is smaller than the sum of its proper divisors (172636880670).

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

102120303330 is a wasteful number, since it uses less digits than its factorization.

102120303330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12688 (or 12685 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 102120303330 its reverse (33303021201), we get a palindrome (135423324531).

It can be divided in two parts, 102120 and 303330, that added together give a triangular number (405450 = T₉₀₀).

The spelling of 102120303330 in words is "one hundred two billion, one hundred twenty million, three hundred three thousand, three hundred thirty".