101241300 has 72 divisors (see below), whose sum is σ = 300105792. Its totient is φ = 26336000.

The previous prime is 101241281. The next prime is 101241313. The reversal of 101241300 is 3142101.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8185 + ... + 16415.

It is an arithmetic number, because the mean of its divisors is an integer number (4168136).

Almost surely, 2^101241300 is an apocalyptic number.

101241300 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 101241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150052896).

101241300 is an abundant number, since it is smaller than the sum of its proper divisors (198864492).

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

101241300 is a wasteful number, since it uses less digits than its factorization.

101241300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8289 (or 8282 counting only the distinct ones).

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

The square root of 101241300 is about 10061.8735829864. The cubic root of 101241300 is about 466.0715259192.

Adding to 101241300 its reverse (3142101), we get a palindrome (104383401).

The spelling of 101241300 in words is "one hundred one million, two hundred forty-one thousand, three hundred".