100000410241221 has 80 divisors (see below), whose sum is σ = 183729765542400. Its totient is φ = 52900065169920.

The previous prime is 100000410241217. The next prime is 100000410241229. The reversal of 100000410241221 is 122142014000001.

100000410241221 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 0 + 410 + 24 + 1 + 221 = 666.

It is not a de Polignac number, because 100000410241221 - 2² = 100000410241217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100000410241194 and 100000410241203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000410241229) 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 79 ways as a sum of consecutive naturals, for example, 84449421 + ... + 85625378.

It is an arithmetic number, because the mean of its divisors is an integer number (2296622069280).

Almost surely, 2^{100000410241221} is an apocalyptic number.

It is an amenable number.

100000410241221 is a deficient number, since it is larger than the sum of its proper divisors (83729355301179).

100000410241221 is a wasteful number, since it uses less digits than its factorization.

100000410241221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170074896 (or 170074887 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100000410241221 its reverse (122142014000001), we get a palindrome (222142424241222).

The spelling of 100000410241221 in words is "one hundred trillion, four hundred ten million, two hundred forty-one thousand, two hundred twenty-one".