1101372185281 has 2 divisors, whose sum is σ = 1101372185282. Its totient is φ = 1101372185280.

The previous prime is 1101372185183. The next prime is 1101372185311. The reversal of 1101372185281 is 1825812731011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 964441843600 + 136930341681 = 982060^2 + 370041^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101372185281 - 2⁹ = 1101372184769 is a prime.

It is a super-2 number, since 2×1101372185281² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1101372185581) 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, 550686092640 + 550686092641.

It is an arithmetic number, because the mean of its divisors is an integer number (550686092641).

Almost surely, 2^{1101372185281} is an apocalyptic number.

It is an amenable number.

1101372185281 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101372185281 is an equidigital number, since it uses as much as digits as its factorization.

1101372185281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 40.

The spelling of 1101372185281 in words is "one trillion, one hundred one billion, three hundred seventy-two million, one hundred eighty-five thousand, two hundred eighty-one".