101301300 has 144 divisors (see below), whose sum is σ = 344977920. Its totient is φ = 25413120.

The previous prime is 101301259. The next prime is 101301307. The reversal of 101301300 is 3103101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101301307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44797 + ... + 47003.

It is an arithmetic number, because the mean of its divisors is an integer number (2395680).

Almost surely, 2^101301300 is an apocalyptic number.

101301300 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 101301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172488960).

101301300 is an abundant number, since it is smaller than the sum of its proper divisors (243676620).

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

101301300 is a wasteful number, since it uses less digits than its factorization.

101301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2234 counting only the distinct ones).

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

The square root of 101301300 is about 10064.8546934370. The cubic root of 101301300 is about 466.1635791593.

Adding to 101301300 its reverse (3103101), we get a palindrome (104404401).

It can be divided in two parts, 101 and 301300, that added together give a square (301401 = 549²).

The spelling of 101301300 in words is "one hundred one million, three hundred one thousand, three hundred".