1121111101121 has 24 divisors (see below), whose sum is σ = 1235435178432. Its totient is φ = 1016597498400.

The previous prime is 1121111101069. The next prime is 1121111101153. The reversal of 1121111101121 is 1211011111211.

It is not a de Polignac number, because 1121111101121 - 2⁶ = 1121111101057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1121111101096 and 1121111101105.

It is not an unprimeable number, because it can be changed into a prime (1121111101421) 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 23 ways as a sum of consecutive naturals, for example, 174597491 + ... + 174603911.

It is an arithmetic number, because the mean of its divisors is an integer number (51476465768).

Almost surely, 2^{1121111101121} is an apocalyptic number.

1121111101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1121111101121 is a deficient number, since it is larger than the sum of its proper divisors (114324077311).

1121111101121 is a wasteful number, since it uses less digits than its factorization.

1121111101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9893 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 1121111101121 its reverse (1211011111211), we get a palindrome (2332122212332).

The spelling of 1121111101121 in words is "one trillion, one hundred twenty-one billion, one hundred eleven million, one hundred one thousand, one hundred twenty-one".