10441134221100 has 144 divisors (see below), whose sum is σ = 32957197271040. Its totient is φ = 2531093356800.

The previous prime is 10441134221071. The next prime is 10441134221149. The reversal of 10441134221100 is 112243114401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163856046 + ... + 163919754.

Almost surely, 2^{10441134221100} is an apocalyptic number.

10441134221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10441134221100 is an abundant number, since it is smaller than the sum of its proper divisors (22516063049940).

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

10441134221100 is a wasteful number, since it uses less digits than its factorization.

10441134221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113400 (or 113393 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10441134221100 its reverse (112243114401), we get a palindrome (10553377335501).

The spelling of 10441134221100 in words is "ten trillion, four hundred forty-one billion, one hundred thirty-four million, two hundred twenty-one thousand, one hundred".