101118200 has 48 divisors (see below), whose sum is σ = 238444560. Its totient is φ = 39872000.

The previous prime is 101118181. The next prime is 101118211. The reversal of 101118200 is 2811101.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10640 + ... + 17760.

It is an arithmetic number, because the mean of its divisors is an integer number (4967595).

Almost surely, 2^101118200 is an apocalyptic number.

101118200 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 101118200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119222280).

101118200 is an abundant number, since it is smaller than the sum of its proper divisors (137326360).

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

101118200 is a wasteful number, since it uses less digits than its factorization.

101118200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7208 (or 7199 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

The square root of 101118200 is about 10055.7545713885. The cubic root of 101118200 is about 465.8825494371.

Adding to 101118200 its reverse (2811101), we get a palindrome (103929301).

The spelling of 101118200 in words is "one hundred one million, one hundred eighteen thousand, two hundred".