120102102120 has 1024 divisors, whose sum is σ = 506127605760. Its totient is φ = 21996748800.

The previous prime is 120102102119. The next prime is 120102102137. The reversal of 120102102120 is 21201201021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120102102096 and 120102102105.

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 255 ways as a sum of consecutive naturals, for example, 271110619 + ... + 271111061.

It is an arithmetic number, because the mean of its divisors is an integer number (494265240).

Almost surely, 2^120102102120 is an apocalyptic number.

120102102120 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 120102102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253063802880).

120102102120 is an abundant number, since it is smaller than the sum of its proper divisors (386025503640).

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

120102102120 is a wasteful number, since it uses less digits than its factorization.

120102102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120102102120 its reverse (21201201021), we get a palindrome (141303303141).

It can be divided in two parts, 120102 and 102120, that added together give a palindrome (222222).

The spelling of 120102102120 in words is "one hundred twenty billion, one hundred two million, one hundred two thousand, one hundred twenty".