1100221122001 has 2 divisors, whose sum is σ = 1100221122002. Its totient is φ = 1100221122000.

The previous prime is 1100221121983. The next prime is 1100221122019. The reversal of 1100221122001 is 1002211220011.

It is a balanced prime because it is at equal distance from previous prime (1100221121983) and next prime (1100221122019).

It can be written as a sum of positive squares in only one way, i.e., 851100347601 + 249120774400 = 922551^2 + 499120^2 .

It is an emirp because it is prime and its reverse (1002211220011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1100221122001 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100221126001) 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 as a sum of consecutive naturals, namely, 550110561000 + 550110561001.

It is an arithmetic number, because the mean of its divisors is an integer number (550110561001).

Almost surely, 2^{1100221122001} is an apocalyptic number.

It is an amenable number.

1100221122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100221122001 is an equidigital number, since it uses as much as digits as its factorization.

1100221122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1100221122001 its reverse (1002211220011), we get a palindrome (2102432342012).

The spelling of 1100221122001 in words is "one trillion, one hundred billion, two hundred twenty-one million, one hundred twenty-two thousand, one".