101242410300 has 180 divisors, whose sum is σ = 347493540240. Its totient is φ = 25409825280.

The previous prime is 101242410289. The next prime is 101242410323. The reversal of 101242410300 is 3014242101.

101242410300 is a `hidden beast` number, since 1 + 0 + 124 + 241 + 0 + 300 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 229920 + ... + 505319.

It is an arithmetic number, because the mean of its divisors is an integer number (1930519668).

Almost surely, 2^101242410300 is an apocalyptic number.

101242410300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101242410300 is an abundant number, since it is smaller than the sum of its proper divisors (246251129940).

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

101242410300 is a wasteful number, since it uses less digits than its factorization.

101242410300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735282 (or 735266 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101242410300 its reverse (3014242101), we get a palindrome (104256652401).

The spelling of 101242410300 in words is "one hundred one billion, two hundred forty-two million, four hundred ten thousand, three hundred".