1100221131301 has 2 divisors, whose sum is σ = 1100221131302. Its totient is φ = 1100221131300.

The previous prime is 1100221131259. The next prime is 1100221131311. The reversal of 1100221131301 is 1031311220011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1008720931201 + 91500200100 = 1004351^2 + 302490^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100221131301 - 2³⁷ = 962782177829 is a prime.

It is a super-2 number, since 2×1100221131301² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100221131311) 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, 550110565650 + 550110565651.

It is an arithmetic number, because the mean of its divisors is an integer number (550110565651).

Almost surely, 2^{1100221131301} is an apocalyptic number.

It is an amenable number.

1100221131301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100221131301 is an equidigital number, since it uses as much as digits as its factorization.

1100221131301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1100221131301 its reverse (1031311220011), we get a palindrome (2131532351312).

The spelling of 1100221131301 in words is "one trillion, one hundred billion, two hundred twenty-one million, one hundred thirty-one thousand, three hundred one".