1101101110121 has 2 divisors, whose sum is σ = 1101101110122. Its totient is φ = 1101101110120.

The previous prime is 1101101110111. The next prime is 1101101110127. The reversal of 1101101110121 is 1210111011011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 724337166400 + 376763943721 = 851080^2 + 613811^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1101101110121 is a prime.

It is not a weakly prime, because it can be changed into another prime (1101101110127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550550555060 + 550550555061.

It is an arithmetic number, because the mean of its divisors is an integer number (550550555061).

Almost surely, 2^{1101101110121} is an apocalyptic number.

It is an amenable number.

1101101110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101101110121 is an equidigital number, since it uses as much as digits as its factorization.

1101101110121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 1101101110121 its reverse (1210111011011), we get a palindrome (2311212121132).

The spelling of 1101101110121 in words is "one trillion, one hundred one billion, one hundred one million, one hundred ten thousand, one hundred twenty-one".