1011001121 has 8 divisors (see below), whose sum is σ = 1091138664. Its totient is φ = 931201920.

The previous prime is 1011001091. The next prime is 1011001151. The reversal of 1011001121 is 1211001101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1011001091) and next prime (1011001151).

It can be written as a sum of positive squares in 4 ways, for example, as 52417600 + 958583521 = 7240^2 + 30961^2 .

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 1011001121 - 2¹⁸ = 1010738977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011001099 and 1011001108.

It is not an unprimeable number, because it can be changed into a prime (1011001151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78356 + ... + 90341.

It is an arithmetic number, because the mean of its divisors is an integer number (136392333).

Almost surely, 2^1011001121 is an apocalyptic number.

It is an amenable number.

1011001121 is a deficient number, since it is larger than the sum of its proper divisors (80137543).

1011001121 is a wasteful number, since it uses less digits than its factorization.

1011001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169171.

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 1011001121 is about 31796.2438190425. The cubic root of 1011001121 is about 1003.6536747362.

Adding to 1011001121 its reverse (1211001101), we get a palindrome (2222002222).

The spelling of 1011001121 in words is "one billion, eleven million, one thousand, one hundred twenty-one".