1122110011121 has 16 divisors (see below), whose sum is σ = 1227170850048. Its totient is φ = 1017559184400.

The previous prime is 1122110011109. The next prime is 1122110011129. The reversal of 1122110011121 is 1211100112211.

It is not a de Polignac number, because 1122110011121 - 2²² = 1122105816817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1122110011096 and 1122110011105.

It is not an unprimeable number, because it can be changed into a prime (1122110011129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15225266 + ... + 15298788.

It is an arithmetic number, because the mean of its divisors is an integer number (76698178128).

Almost surely, 2^{1122110011121} is an apocalyptic number.

1122110011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122110011121 is a deficient number, since it is larger than the sum of its proper divisors (105060838927).

1122110011121 is a wasteful number, since it uses less digits than its factorization.

1122110011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76972.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1122110011121 its reverse (1211100112211), we get a palindrome (2333210123332).

The spelling of 1122110011121 in words is "one trillion, one hundred twenty-two billion, one hundred ten million, eleven thousand, one hundred twenty-one".