1100441110221 has 48 divisors (see below), whose sum is σ = 1723328815104. Its totient is φ = 674015811072.

The previous prime is 1100441110213. The next prime is 1100441110247. The reversal of 1100441110221 is 1220111440011.

1100441110221 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 441 + 1 + 1 + 0 + 221 = 666.

It is not a de Polignac number, because 1100441110221 - 2³ = 1100441110213 is a prime.

It is a super-3 number, since 3×1100441110221³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100441110194 and 1100441110203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100441110201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2554375 + ... + 2953931.

It is an arithmetic number, because the mean of its divisors is an integer number (35902683648).

Almost surely, 2^{1100441110221} is an apocalyptic number.

It is an amenable number.

1100441110221 is a deficient number, since it is larger than the sum of its proper divisors (622887704883).

1100441110221 is a wasteful number, since it uses less digits than its factorization.

1100441110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400010 (or 400007 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1100441110221 its reverse (1220111440011), we get a palindrome (2320552550232).

The spelling of 1100441110221 in words is "one trillion, one hundred billion, four hundred forty-one million, one hundred ten thousand, two hundred twenty-one".