102121330320 has 240 divisors, whose sum is σ = 363213931392. Its totient is φ = 25659279360.

The previous prime is 102121330279. The next prime is 102121330357. The reversal of 102121330320 is 23033121201.

102121330320 is a `hidden beast` number, since 1 + 0 + 2 + 12 + 1 + 330 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×102121330320² (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 a junction number, because it is equal to n+sod(n) for n = 102121330293 and 102121330302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1063500 + ... + 1155540.

Almost surely, 2^102121330320 is an apocalyptic number.

102121330320 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 102121330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181606965696).

102121330320 is an abundant number, since it is smaller than the sum of its proper divisors (261092601072).

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

102121330320 is a wasteful number, since it uses less digits than its factorization.

102121330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92150 (or 92141 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102121330320 its reverse (23033121201), we get a palindrome (125154451521).

The spelling of 102121330320 in words is "one hundred two billion, one hundred twenty-one million, three hundred thirty thousand, three hundred twenty".