1011120116705 has 32 divisors (see below), whose sum is σ = 1223943412608. Its totient is φ = 801871488000.

The previous prime is 1011120116621. The next prime is 1011120116707. The reversal of 1011120116705 is 5076110211101.

It is not a de Polignac number, because 1011120116705 - 2²⁴ = 1011103339489 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1011120116707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227164730 + ... + 227169180.

It is an arithmetic number, because the mean of its divisors is an integer number (38248231644).

Almost surely, 2^{1011120116705} is an apocalyptic number.

It is an amenable number.

1011120116705 is a deficient number, since it is larger than the sum of its proper divisors (212823295903).

1011120116705 is a wasteful number, since it uses less digits than its factorization.

1011120116705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537.

The product of its (nonzero) digits is 420, while the sum is 26.

Adding to 1011120116705 its reverse (5076110211101), we get a palindrome (6087230327806).

The spelling of 1011120116705 in words is "one trillion, eleven billion, one hundred twenty million, one hundred sixteen thousand, seven hundred five".