1011000011121 has 24 divisors (see below), whose sum is σ = 1515172562280. Its totient is φ = 648827536896.

The previous prime is 1011000011093. The next prime is 1011000011123. The reversal of 1011000011121 is 1211100001101.

It can be written as a sum of positive squares in 4 ways, for example, as 266990257521 + 744009753600 = 516711^2 + 862560^2 .

It is not a de Polignac number, because 1011000011121 - 2²³ = 1010991622513 is a prime.

It is a super-3 number, since 3×1011000011121³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

1011000011121 is a modest number, since divided by 11121 gives 10110 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1011000011123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5659170 + ... + 5835083.

It is an arithmetic number, because the mean of its divisors is an integer number (63132190095).

Almost surely, 2^{1011000011121} is an apocalyptic number.

It is an amenable number.

1011000011121 is a deficient number, since it is larger than the sum of its proper divisors (504172551159).

1011000011121 is a wasteful number, since it uses less digits than its factorization.

1011000011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11494625 (or 11494622 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1011000011121 its reverse (1211100001101), we get a palindrome (2222100012222).

The spelling of 1011000011121 in words is "one trillion, eleven billion, eleven thousand, one hundred twenty-one".