101200320 has 448 divisors, whose sum is σ = 414771840. Its totient is φ = 23003136.

The previous prime is 101200313. The next prime is 101200349. The reversal of 101200320 is 23002101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1909414 + ... + 1909466.

It is an arithmetic number, because the mean of its divisors is an integer number (925830).

Almost surely, 2^101200320 is an apocalyptic number.

101200320 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 101200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207385920).

101200320 is an abundant number, since it is smaller than the sum of its proper divisors (313571520).

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

101200320 is a wasteful number, since it uses less digits than its factorization.

101200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 101200320 is about 10059.8369768103. The cubic root of 101200320 is about 466.0086326509.

Adding to 101200320 its reverse (23002101), we get a palindrome (124202421).

The spelling of 101200320 in words is "one hundred one million, two hundred thousand, three hundred twenty".