1221221104001 has 2 divisors, whose sum is σ = 1221221104002. Its totient is φ = 1221221104000.

The previous prime is 1221221103967. The next prime is 1221221104073. The reversal of 1221221104001 is 1004011221221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 737571792400 + 483649311601 = 858820^2 + 695449^2 .

It is an emirp because it is prime and its reverse (1004011221221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1221221104001 - 2⁶ = 1221221103937 is a prime.

It is a super-3 number, since 3×1221221104001³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1221221194001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610610552000 + 610610552001.

It is an arithmetic number, because the mean of its divisors is an integer number (610610552001).

Almost surely, 2^{1221221104001} is an apocalyptic number.

It is an amenable number.

1221221104001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221221104001 is an equidigital number, since it uses as much as digits as its factorization.

1221221104001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1221221104001 its reverse (1004011221221), we get a palindrome (2225232325222).

The spelling of 1221221104001 in words is "one trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred four thousand, one".