101143200 has 288 divisors, whose sum is σ = 363351744. Its totient is φ = 24330240.

The previous prime is 101143199. The next prime is 101143223. The reversal of 101143200 is 2341101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1509567 + ... + 1509633.

It is an arithmetic number, because the mean of its divisors is an integer number (1261638).

Almost surely, 2^101143200 is an apocalyptic number.

101143200 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 101143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181675872).

101143200 is an abundant number, since it is smaller than the sum of its proper divisors (262208544).

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

101143200 is a wasteful number, since it uses less digits than its factorization.

101143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101143200 is about 10056.9975638856. The cubic root of 101143200 is about 465.9209404950.

Adding to 101143200 its reverse (2341101), we get a palindrome (103484301).

The spelling of 101143200 in words is "one hundred one million, one hundred forty-three thousand, two hundred".