1121131101121 has 32 divisors (see below), whose sum is σ = 1225924116480. Its totient is φ = 1021368009600.

The previous prime is 1121131101073. The next prime is 1121131101137. The reversal of 1121131101121 is 1211011311211.

It is a cyclic number.

It is not a de Polignac number, because 1121131101121 - 2¹³ = 1121131092929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1121131101095 and 1121131101104.

It is not an unprimeable number, because it can be changed into a prime (1121131101161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73940781 + ... + 73955941.

It is an arithmetic number, because the mean of its divisors is an integer number (38310128640).

Almost surely, 2^{1121131101121} is an apocalyptic number.

It is an amenable number.

1121131101121 is a deficient number, since it is larger than the sum of its proper divisors (104793015359).

1121131101121 is a wasteful number, since it uses less digits than its factorization.

1121131101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15997.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 1121131101121 its reverse (1211011311211), we get a palindrome (2332142412332).

The spelling of 1121131101121 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-one million, one hundred one thousand, one hundred twenty-one".