102123120 has 160 divisors (see below), whose sum is σ = 349691904. Its totient is φ = 24448000.

The previous prime is 102123107. The next prime is 102123137. The reversal of 102123120 is 21321201.

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 = 102123096 and 102123105.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 266449 + ... + 266831.

Almost surely, 2^102123120 is an apocalyptic number.

102123120 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 102123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174845952).

102123120 is an abundant number, since it is smaller than the sum of its proper divisors (247568784).

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

102123120 is a wasteful number, since it uses less digits than its factorization.

102123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102123120 is about 10105.5984483849. The cubic root of 102123120 is about 467.4207897675.

Adding to 102123120 its reverse (21321201), we get a palindrome (123444321).

The spelling of 102123120 in words is "one hundred two million, one hundred twenty-three thousand, one hundred twenty".