100101301323300 has 216 divisors, whose sum is σ = 319672700965800. Its totient is φ = 26195495424000.

The previous prime is 100101301323281. The next prime is 100101301323349. The reversal of 100101301323300 is 3323103101001.

It is a happy number.

100101301323300 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 1 + 301 + 32 + 330 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 64480386081024 + 35620915242276 = 8029968^2 + 5968326^2 .

It is a super-2 number, since 2×100101301323300² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5399026 + ... + 15144374.

It is an arithmetic number, because the mean of its divisors is an integer number (1479966208175).

Almost surely, 2^{100101301323300} is an apocalyptic number.

100101301323300 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 100101301323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159836350482900).

100101301323300 is an abundant number, since it is smaller than the sum of its proper divisors (219571399642500).

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

100101301323300 is a wasteful number, since it uses less digits than its factorization.

100101301323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9745583 (or 9745573 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100101301323300 its reverse (3323103101001), we get a palindrome (103424404424301).

The spelling of 100101301323300 in words is "one hundred trillion, one hundred one billion, three hundred one million, three hundred twenty-three thousand, three hundred".