102102331200120 has 192 divisors, whose sum is σ = 351439647156000. Its totient is φ = 25619300818944.

The previous prime is 102102331200059. The next prime is 102102331200151. The reversal of 102102331200120 is 21002133201201.

102102331200120 is a `hidden beast` number, since 1 + 0 + 2 + 10 + 2 + 331 + 200 + 120 = 666.

102102331200120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 102102331200093 and 102102331200102.

It is a congruent number.

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, 22520716 + ... + 26671844.

Almost surely, 2^{102102331200120} is an apocalyptic number.

102102331200120 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 102102331200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175719823578000).

102102331200120 is an abundant number, since it is smaller than the sum of its proper divisors (249337315955880).

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

102102331200120 is a wasteful number, since it uses less digits than its factorization.

102102331200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4155182 (or 4155175 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102102331200120 its reverse (21002133201201), we get a palindrome (123104464401321).

The spelling of 102102331200120 in words is "one hundred two trillion, one hundred two billion, three hundred thirty-one million, two hundred thousand, one hundred twenty".