1100224121 has 16 divisors (see below), whose sum is σ = 1134422928. Its totient is φ = 1066675200.

The previous prime is 1100224063. The next prime is 1100224163. The reversal of 1100224121 is 1214220011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 155276521 + 944947600 = 12461^2 + 30740^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100224121 - 2⁶ = 1100224057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100224096 and 1100224105.

It is not an unprimeable number, because it can be changed into a prime (1100223121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1445381 + ... + 1446141.

It is an arithmetic number, because the mean of its divisors is an integer number (70901433).

Almost surely, 2^1100224121 is an apocalyptic number.

It is an amenable number.

1100224121 is a deficient number, since it is larger than the sum of its proper divisors (34198807).

1100224121 is a wasteful number, since it uses less digits than its factorization.

1100224121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1100224121 is about 33169.6264826724. The cubic root of 1100224121 is about 1032.3502184688.

Adding to 1100224121 its reverse (1214220011), we get a palindrome (2314444132).

The spelling of 1100224121 in words is "one billion, one hundred million, two hundred twenty-four thousand, one hundred twenty-one".