1100101121753 has 2 divisors, whose sum is σ = 1100101121754. Its totient is φ = 1100101121752.

The previous prime is 1100101121723. The next prime is 1100101121771. The reversal of 1100101121753 is 3571211010011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 758480744464 + 341620377289 = 870908^2 + 584483^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100101121753 - 2¹⁸ = 1100100859609 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100101121723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550050560876 + 550050560877.

It is an arithmetic number, because the mean of its divisors is an integer number (550050560877).

Almost surely, 2^{1100101121753} is an apocalyptic number.

It is an amenable number.

1100101121753 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100101121753 is an equidigital number, since it uses as much as digits as its factorization.

1100101121753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 23.

Adding to 1100101121753 its reverse (3571211010011), we get a palindrome (4671312131764).

The spelling of 1100101121753 in words is "one trillion, one hundred billion, one hundred one million, one hundred twenty-one thousand, seven hundred fifty-three".