101200112200 has 96 divisors (see below), whose sum is σ = 256790216160. Its totient is φ = 36784281600.

The previous prime is 101200112197. The next prime is 101200112239. The reversal of 101200112200 is 2211002101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5946904 + ... + 5963896.

It is an arithmetic number, because the mean of its divisors is an integer number (2674898085).

Almost surely, 2^101200112200 is an apocalyptic number.

101200112200 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 101200112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128395108080).

101200112200 is an abundant number, since it is smaller than the sum of its proper divisors (155590103960).

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

101200112200 is a wasteful number, since it uses less digits than its factorization.

101200112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19727 (or 19718 counting only the distinct ones).

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

Adding to 101200112200 its reverse (2211002101), we get a palindrome (103411114301).

It can be divided in two parts, 1012001 and 12200, that added together give a palindrome (1024201).

The spelling of 101200112200 in words is "one hundred one billion, two hundred million, one hundred twelve thousand, two hundred".