1011717221121 has 48 divisors (see below), whose sum is σ = 1597829276160. Its totient is φ = 614101178880.

The previous prime is 1011717221093. The next prime is 1011717221159. The reversal of 1011717221121 is 1211227171101.

1011717221121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1011717221121 - 2¹⁵ = 1011717188353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1011717221161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13446835 + ... + 13521863.

It is an arithmetic number, because the mean of its divisors is an integer number (33288109920).

Almost surely, 2^{1011717221121} is an apocalyptic number.

It is an amenable number.

1011717221121 is a deficient number, since it is larger than the sum of its proper divisors (586112055039).

1011717221121 is a wasteful number, since it uses less digits than its factorization.

1011717221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77926 (or 77923 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 27.

The spelling of 1011717221121 in words is "one trillion, eleven billion, seven hundred seventeen million, two hundred twenty-one thousand, one hundred twenty-one".