1121011123121 has 8 divisors (see below), whose sum is σ = 1135785385800. Its totient is φ = 1106322015232.

The previous prime is 1121011123109. The next prime is 1121011123157. The reversal of 1121011123121 is 1213211101211.

It can be written as a sum of positive squares in 4 ways, for example, as 77375210896 + 1043635912225 = 278164^2 + 1021585^2 .

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 1121011123121 - 2¹⁴ = 1121011106737 is a prime.

It is a super-2 number, since 2×1121011123121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1121011123121.

It is not an unprimeable number, because it can be changed into a prime (1121011123181) 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, 21262196 + ... + 21314853.

It is an arithmetic number, because the mean of its divisors is an integer number (141973173225).

Almost surely, 2^{1121011123121} is an apocalyptic number.

It is an amenable number.

1121011123121 is a deficient number, since it is larger than the sum of its proper divisors (14774262679).

1121011123121 is a wasteful number, since it uses less digits than its factorization.

1121011123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42577395.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 1121011123121 its reverse (1213211101211), we get a palindrome (2334222224332).

The spelling of 1121011123121 in words is "one trillion, one hundred twenty-one billion, eleven million, one hundred twenty-three thousand, one hundred twenty-one".