1100220221221 has 12 divisors (see below), whose sum is σ = 1209429728332. Its totient is φ = 1000120176000.

The previous prime is 1100220221171. The next prime is 1100220221273. The reversal of 1100220221221 is 1221220220011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 586648764900 + 513571456321 = 765930^2 + 716639^2 .

It is not a de Polignac number, because 1100220221221 - 2²⁷ = 1100086003493 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100220221195 and 1100220221204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100220222221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1181851 + ... + 1896631.

Almost surely, 2^{1100220221221} is an apocalyptic number.

1100220221221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100220221221 is a deficient number, since it is larger than the sum of its proper divisors (109209507111).

1100220221221 is a wasteful number, since it uses less digits than its factorization.

1100220221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727524 (or 727513 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1100220221221 its reverse (1221220220011), we get a palindrome (2321440441232).

The spelling of 1100220221221 in words is "one trillion, one hundred billion, two hundred twenty million, two hundred twenty-one thousand, two hundred twenty-one".