102102120 has 80 divisors (see below), whose sum is σ = 343187460. Its totient is φ = 27226368.

The previous prime is 102102109. The next prime is 102102139. The reversal of 102102120 is 21201201.

It can be written as a sum of positive squares in 2 ways, for example, as 83283876 + 18818244 = 9126^2 + 4338^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12517 + ... + 18996.

Almost surely, 2^102102120 is an apocalyptic number.

102102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102120 is an abundant number, since it is smaller than the sum of its proper divisors (241085340).

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

102102120 is a wasteful number, since it uses less digits than its factorization.

102102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31536 (or 31523 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 102102120 is about 10104.5593669393. The cubic root of 102102120 is about 467.3887483470.

Adding to 102102120 its reverse (21201201), we get a palindrome (123303321).

The spelling of 102102120 in words is "one hundred two million, one hundred two thousand, one hundred twenty".