102000120 has 64 divisors (see below), whose sum is σ = 314284320. Its totient is φ = 26463744.

The previous prime is 102000109. The next prime is 102000131. The reversal of 102000120 is 21000201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102000109) and next prime (102000131).

It is a super-3 number, since 3×102000120³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 102000099 and 102000108.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7047 + ... + 15926.

Almost surely, 2^102000120 is an apocalyptic number.

102000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000120 is an abundant number, since it is smaller than the sum of its proper divisors (212284200).

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

102000120 is a wasteful number, since it uses less digits than its factorization.

102000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23024 (or 23020 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 102000120 is about 10099.5108792456. The cubic root of 102000120 is about 467.2330560640.

Adding to 102000120 its reverse (21000201), we get a palindrome (123000321).

The spelling of 102000120 in words is "one hundred two million, one hundred twenty", and thus it is an aban number.