102200112 has 120 divisors (see below), whose sum is σ = 333219744. Its totient is φ = 28634112.

The previous prime is 102200101. The next prime is 102200117. The reversal of 102200112 is 211002201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102200094 and 102200103.

It is not an unprimeable number, because it can be changed into a prime (102200117) 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 23 ways as a sum of consecutive naturals, for example, 52468 + ... + 54380.

Almost surely, 2^102200112 is an apocalyptic number.

102200112 is a gapful number since it is divisible by the number (12) 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 102200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166609872).

102200112 is an abundant number, since it is smaller than the sum of its proper divisors (231019632).

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

102200112 is a wasteful number, since it uses less digits than its factorization.

102200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1978 counting only the distinct ones).

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

The square root of 102200112 is about 10109.4071042767. The cubic root of 102200112 is about 467.5382252100.

Adding to 102200112 its reverse (211002201), we get a palindrome (313202313).

The spelling of 102200112 in words is "one hundred two million, two hundred thousand, one hundred twelve".