100042004410000 has 225 divisors, whose sum is σ = 250924581595831. Its totient is φ = 38625709696000.

The previous prime is 100042004409989. The next prime is 100042004410001. The reversal of 100042004410000 is 14400240001.

The square root of 100042004410000 is 10002100.

It is a perfect power (a square), and thus also a powerful number.

100042004410000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 31732176129424 + 68309828280576 = 5633132^2 + 8264976^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100042004410001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 29006088276 + ... + 29006091724.

Almost surely, 2^{100042004410000} is an apocalyptic number.

100042004410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100042004410000 is the 10002100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100042004410000

100042004410000 is an abundant number, since it is smaller than the sum of its proper divisors (150882577185831).

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

100042004410000 is an frugal number, since it uses more digits than its factorization.

100042004410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6984 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

100042004410000 divided by its sum of digits (16) gives a square (6252625275625 = 2500525²).

Adding to 100042004410000 its reverse (14400240001), we get a palindrome (100056404650001).

The spelling of 100042004410000 in words is "one hundred trillion, forty-two billion, four million, four hundred ten thousand".