102112120 has 32 divisors (see below), whose sum is σ = 250639920. Its totient is φ = 37131520.

The previous prime is 102112063. The next prime is 102112121. The reversal of 102112120 is 21211201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102112097 and 102112106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 115597 + ... + 116476.

Almost surely, 2^102112120 is an apocalyptic number.

102112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112120 is an abundant number, since it is smaller than the sum of its proper divisors (148527800).

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

102112120 is a wasteful number, since it uses less digits than its factorization.

102112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232095 (or 232091 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 102112120 is about 10105.0541809532. The cubic root of 102112120 is about 467.4040067141.

Adding to 102112120 its reverse (21211201), we get a palindrome (123323321).

The spelling of 102112120 in words is "one hundred two million, one hundred twelve thousand, one hundred twenty".