1101221332129 has 2 divisors, whose sum is σ = 1101221332130. Its totient is φ = 1101221332128.

The previous prime is 1101221332093. The next prime is 1101221332151. The reversal of 1101221332129 is 9212331221011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1035184153600 + 66037178529 = 1017440^2 + 256977^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101221332129 - 2¹⁵ = 1101221299361 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1101221332097 and 1101221332106.

It is not a weakly prime, because it can be changed into another prime (1101221372129) 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, 550610666064 + 550610666065.

It is an arithmetic number, because the mean of its divisors is an integer number (550610666065).

Almost surely, 2^{1101221332129} is an apocalyptic number.

It is an amenable number.

1101221332129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101221332129 is an equidigital number, since it uses as much as digits as its factorization.

1101221332129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 1101221332129 in words is "one trillion, one hundred one billion, two hundred twenty-one million, three hundred thirty-two thousand, one hundred twenty-nine".