101200 has 60 divisors (see below), whose sum is σ = 276768. Its totient is φ = 35200.

The previous prime is 101197. The next prime is 101203. The reversal of 101200 is 2101.

101200 = T₁₉ + T₂₀ + ... + T₈₄.

101200 = 55² + 56² + ... + 77².

It is an interprime number because it is at equal distance from previous prime (101197) and next prime (101203).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 101200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4389 + ... + 4411.

2¹⁰¹²⁰⁰ is an apocalyptic number.

101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101200 is the 184-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138384).

101200 is an abundant number, since it is smaller than the sum of its proper divisors (175568).

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

101200 is a wasteful number, since it uses less digits than its factorization.

101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 101200 is about 318.1194744117. The cubic root of 101200 is about 46.6008141470.

Adding to 101200 its reverse (2101), we get a palindrome (103301).

Subtracting from 101200 its reverse (2101), we obtain a palindrome (99099).

The spelling of 101200 in words is "one hundred one thousand, two hundred", and thus it is an iban number.