100414030333300 has 72 divisors (see below), whose sum is σ = 220887179112600. Its totient is φ = 39614712606720.

The previous prime is 100414030333289. The next prime is 100414030333303. The reversal of 100414030333300 is 3333030414001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 83596862769424 + 16817167563876 = 9143132^2 + 4100874^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100414030333303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720213996 + ... + 720353404.

It is an arithmetic number, because the mean of its divisors is an integer number (3067877487675).

Almost surely, 2^{100414030333300} is an apocalyptic number.

100414030333300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100414030333300 is an abundant number, since it is smaller than the sum of its proper divisors (120473148779300).

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

100414030333300 is a wasteful number, since it uses less digits than its factorization.

100414030333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238165 (or 238158 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 100414030333300 its reverse (3333030414001), we get a palindrome (103747060747301).

The spelling of 100414030333300 in words is "one hundred trillion, four hundred fourteen billion, thirty million, three hundred thirty-three thousand, three hundred".