1100221122221 has 16 divisors (see below), whose sum is σ = 1196068935600. Its totient is φ = 1006020546048.

The previous prime is 1100221122211. The next prime is 1100221122227. The reversal of 1100221122221 is 1222211220011.

It can be written as a sum of positive squares in 8 ways, for example, as 8934121 + 1100212188100 = 2989^2 + 1048910^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100221122221 - 2²² = 1100216927917 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1100221122221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100221122227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351536 + ... + 1524473.

It is an arithmetic number, because the mean of its divisors is an integer number (74754308475).

Almost surely, 2^{1100221122221} is an apocalyptic number.

It is an amenable number.

1100221122221 is a deficient number, since it is larger than the sum of its proper divisors (95847813379).

1100221122221 is a wasteful number, since it uses less digits than its factorization.

1100221122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876448.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1100221122221 its reverse (1222211220011), we get a palindrome (2322432342232).

The spelling of 1100221122221 in words is "one trillion, one hundred billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty-one".