102065019984120 has 512 divisors, whose sum is σ = 328936146739200. Its totient is φ = 25300717977600.

The previous prime is 102065019984107. The next prime is 102065019984139. The reversal of 102065019984120 is 21489910560201.

It is a super-3 number, since 3×102065019984120³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102065019984120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1256561829 + ... + 1256643051.

It is an arithmetic number, because the mean of its divisors is an integer number (642453411600).

Almost surely, 2^{102065019984120} is an apocalyptic number.

102065019984120 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 102065019984120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164468073369600).

102065019984120 is an abundant number, since it is smaller than the sum of its proper divisors (226871126755080).

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

102065019984120 is a wasteful number, since it uses less digits than its factorization.

102065019984120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81471 (or 81467 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 102065019984120 in words is "one hundred two trillion, sixty-five billion, nineteen million, nine hundred eighty-four thousand, one hundred twenty".