1100101122353 has 2 divisors, whose sum is σ = 1100101122354. Its totient is φ = 1100101122352.

The previous prime is 1100101122319. The next prime is 1100101122361. The reversal of 1100101122353 is 3532211010011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 572128857664 + 527972264689 = 756392^2 + 726617^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100101122353 - 2³⁶ = 1031381645617 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100101122383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550050561176 + 550050561177.

It is an arithmetic number, because the mean of its divisors is an integer number (550050561177).

Almost surely, 2^{1100101122353} is an apocalyptic number.

It is an amenable number.

1100101122353 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100101122353 is an equidigital number, since it uses as much as digits as its factorization.

1100101122353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 1100101122353 its reverse (3532211010011), we get a palindrome (4632312132364).

The spelling of 1100101122353 in words is "one trillion, one hundred billion, one hundred one million, one hundred twenty-two thousand, three hundred fifty-three".