1100121011177 has 2 divisors, whose sum is σ = 1100121011178. Its totient is φ = 1100121011176.

The previous prime is 1100121011083. The next prime is 1100121011179. The reversal of 1100121011177 is 7711101210011.

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., 1024911239641 + 75209771536 = 1012379^2 + 274244^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100121011177 - 2¹⁶ = 1100120945641 is a prime.

Together with 1100121011179, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1100121011179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550060505588 + 550060505589.

It is an arithmetic number, because the mean of its divisors is an integer number (550060505589).

Almost surely, 2^{1100121011177} is an apocalyptic number.

It is an amenable number.

1100121011177 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100121011177 is an equidigital number, since it uses as much as digits as its factorization.

1100121011177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98, while the sum is 23.

Adding to 1100121011177 its reverse (7711101210011), we get a palindrome (8811222221188).

The spelling of 1100121011177 in words is "one trillion, one hundred billion, one hundred twenty-one million, eleven thousand, one hundred seventy-seven".