102112120304 has 60 divisors (see below), whose sum is σ = 211038942048. Its totient is φ = 47852851200.

The previous prime is 102112120289. The next prime is 102112120307. The reversal of 102112120304 is 403021211201.

It is a super-2 number, since 2×102112120304² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112120307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1068569 + ... + 1160199.

Almost surely, 2^102112120304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102112120304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105519471024).

102112120304 is an abundant number, since it is smaller than the sum of its proper divisors (108926821744).

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

102112120304 is a wasteful number, since it uses less digits than its factorization.

102112120304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91914 (or 91891 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102112120304 its reverse (403021211201), we get a palindrome (505133331505).

The spelling of 102112120304 in words is "one hundred two billion, one hundred twelve million, one hundred twenty thousand, three hundred four".