1011121112117 has 2 divisors, whose sum is σ = 1011121112118. Its totient is φ = 1011121112116.

The previous prime is 1011121112107. The next prime is 1011121112153. The reversal of 1011121112117 is 7112111211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 770250214321 + 240870897796 = 877639^2 + 490786^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011121112117 - 2¹² = 1011121108021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011121112107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505560556058 + 505560556059.

It is an arithmetic number, because the mean of its divisors is an integer number (505560556059).

Almost surely, 2^{1011121112117} is an apocalyptic number.

It is an amenable number.

1011121112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011121112117 is an equidigital number, since it uses as much as digits as its factorization.

1011121112117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 20.

Adding to 1011121112117 its reverse (7112111211101), we get a palindrome (8123232323218).

The spelling of 1011121112117 in words is "one trillion, eleven billion, one hundred twenty-one million, one hundred twelve thousand, one hundred seventeen".