10441121100 has 36 divisors (see below), whose sum is σ = 30209644584. Its totient is φ = 2784298880.

The previous prime is 10441121083. The next prime is 10441121209. The reversal of 10441121100 is 112114401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10441121100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17401569 + ... + 17402168.

It is an arithmetic number, because the mean of its divisors is an integer number (839156794).

Almost surely, 2^10441121100 is an apocalyptic number.

10441121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10441121100 is an abundant number, since it is smaller than the sum of its proper divisors (19768523484).

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

10441121100 is a wasteful number, since it uses less digits than its factorization.

10441121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34803754 (or 34803747 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10441121100 its reverse (112114401), we get a palindrome (10553235501).

The spelling of 10441121100 in words is "ten billion, four hundred forty-one million, one hundred twenty-one thousand, one hundred".