101144200 has 48 divisors (see below), whose sum is σ = 236123280. Its totient is φ = 40292160.

The previous prime is 101144189. The next prime is 101144207. The reversal of 101144200 is 2441101.

It is not an unprimeable number, because it can be changed into a prime (101144207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55707 + ... + 57493.

It is an arithmetic number, because the mean of its divisors is an integer number (4919235).

Almost surely, 2^101144200 is an apocalyptic number.

101144200 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 101144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118061640).

101144200 is an abundant number, since it is smaller than the sum of its proper divisors (134979080).

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

101144200 is a wasteful number, since it uses less digits than its factorization.

101144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 101144200 is about 10057.0472803900. The cubic root of 101144200 is about 465.9224760058.

Adding to 101144200 its reverse (2441101), we get a palindrome (103585301).

The spelling of 101144200 in words is "one hundred one million, one hundred forty-four thousand, two hundred".