102120120 has 96 divisors (see below), whose sum is σ = 333281520. Its totient is φ = 27118080.

The previous prime is 102120101. The next prime is 102120131. The reversal of 102120120 is 21021201.

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

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 23 ways as a sum of consecutive naturals, for example, 118732 + ... + 119588.

Almost surely, 2^102120120 is an apocalyptic number.

102120120 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 102120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166640760).

102120120 is an abundant number, since it is smaller than the sum of its proper divisors (231161400).

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

102120120 is a wasteful number, since it uses less digits than its factorization.

102120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1198 counting only the distinct ones).

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

The square root of 102120120 is about 10105.4500147198. The cubic root of 102120120 is about 467.4162126906.

Adding to 102120120 its reverse (21021201), we get a palindrome (123141321).

The spelling of 102120120 in words is "one hundred two million, one hundred twenty thousand, one hundred twenty".