100000410404202 has 1152 divisors, whose sum is σ = 302452061184000. Its totient is φ = 23276603750400.

The previous prime is 100000410404197. The next prime is 100000410404203. The reversal of 100000410404202 is 202404014000001.

100000410404202 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 0 + 410 + 40 + 4 + 202 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100000410404203) 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 575 ways as a sum of consecutive naturals, for example, 109769934127 + ... + 109769935037.

It is an arithmetic number, because the mean of its divisors is an integer number (262545192000).

Almost surely, 2^{100000410404202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100000410404202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151226030592000).

100000410404202 is an abundant number, since it is smaller than the sum of its proper divisors (202451650779798).

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

100000410404202 is a wasteful number, since it uses less digits than its factorization.

100000410404202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100000410404202 its reverse (202404014000001), we get a palindrome (302404424404203).

The spelling of 100000410404202 in words is "one hundred trillion, four hundred ten million, four hundred four thousand, two hundred two".