11100410113221 has 24 divisors (see below), whose sum is σ = 18837059588256. Its totient is φ = 6210019643040.

The previous prime is 11100410113211. The next prime is 11100410113229. The reversal of 11100410113221 is 12231101400111.

11100410113221 is a `hidden beast` number, since 1 + 1 + 100 + 410 + 1 + 132 + 21 = 666.

It is not a de Polignac number, because 11100410113221 - 2⁵ = 11100410113189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11100410113194 and 11100410113203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100410113229) 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, 4312512355 + ... + 4312514928.

It is an arithmetic number, because the mean of its divisors is an integer number (784877482844).

Almost surely, 2^{11100410113221} is an apocalyptic number.

11100410113221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11100410113221 is a deficient number, since it is larger than the sum of its proper divisors (7736649475035).

11100410113221 is a wasteful number, since it uses less digits than its factorization.

11100410113221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8625027313 (or 8625027310 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11100410113221 its reverse (12231101400111), we get a palindrome (23331511513332).

The spelling of 11100410113221 in words is "eleven trillion, one hundred billion, four hundred ten million, one hundred thirteen thousand, two hundred twenty-one".