102110120 has 96 divisors (see below), whose sum is σ = 272095200. Its totient is φ = 34376832.

The previous prime is 102110111. The next prime is 102110167. The reversal of 102110120 is 21011201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 102110098 and 102110107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115199 + ... + 116081.

It is an arithmetic number, because the mean of its divisors is an integer number (2834325).

Almost surely, 2^102110120 is an apocalyptic number.

102110120 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 102110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136047600).

102110120 is an abundant number, since it is smaller than the sum of its proper divisors (169985080).

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

102110120 is a wasteful number, since it uses less digits than its factorization.

102110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 102110120 is about 10104.9552200888. The cubic root of 102110120 is about 467.4009551204.

Adding to 102110120 its reverse (21011201), we get a palindrome (123121321).

The spelling of 102110120 in words is "one hundred two million, one hundred ten thousand, one hundred twenty".