112102170600 has 288 divisors, whose sum is σ = 404671554720. Its totient is φ = 25596910080.

The previous prime is 112102170539. The next prime is 112102170623. The reversal of 112102170600 is 6071201211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50655094 + ... + 50657306.

It is an arithmetic number, because the mean of its divisors is an integer number (1405109565).

Almost surely, 2^112102170600 is an apocalyptic number.

112102170600 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 112102170600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202335777360).

112102170600 is an abundant number, since it is smaller than the sum of its proper divisors (292569384120).

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

112102170600 is a wasteful number, since it uses less digits than its factorization.

112102170600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

Adding to 112102170600 its reverse (6071201211), we get a palindrome (118173371811).

The spelling of 112102170600 in words is "one hundred twelve billion, one hundred two million, one hundred seventy thousand, six hundred".