1011110101121 has 8 divisors (see below), whose sum is σ = 1014409972200. Its totient is φ = 1007814487680.

The previous prime is 1011110101097. The next prime is 1011110101159. The reversal of 1011110101121 is 1211010111101.

It is a happy number.

1011110101121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 250778896 + 1010859322225 = 15836^2 + 1005415^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1011110101121 - 2¹⁴ = 1011110084737 is a prime.

It is a super-3 number, since 3×1011110101121³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1011110101171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 588326 + ... + 1538943.

It is an arithmetic number, because the mean of its divisors is an integer number (126801246525).

Almost surely, 2^{1011110101121} is an apocalyptic number.

It is an amenable number.

1011110101121 is a deficient number, since it is larger than the sum of its proper divisors (3299871079).

1011110101121 is a wasteful number, since it uses less digits than its factorization.

1011110101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128819.

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

Adding to 1011110101121 its reverse (1211010111101), we get a palindrome (2222120212222).

The spelling of 1011110101121 in words is "one trillion, eleven billion, one hundred ten million, one hundred one thousand, one hundred twenty-one".