1110122211121 has 96 divisors (see below), whose sum is σ = 1453440464640. Its totient is φ = 838156032000.

The previous prime is 1110122211091. The next prime is 1110122211137. The reversal of 1110122211121 is 1211122210111.

It is not a de Polignac number, because 1110122211121 - 2¹¹ = 1110122209073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1110122211095 and 1110122211104.

It is not an unprimeable number, because it can be changed into a prime (1110122211151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 544443420 + ... + 544445458.

It is an arithmetic number, because the mean of its divisors is an integer number (15140004840).

Almost surely, 2^{1110122211121} is an apocalyptic number.

1110122211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1110122211121 is a deficient number, since it is larger than the sum of its proper divisors (343318253519).

1110122211121 is a wasteful number, since it uses less digits than its factorization.

1110122211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2368 counting only the distinct ones).

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

Adding to 1110122211121 its reverse (1211122210111), we get a palindrome (2321244421232).

It can be divided in two parts, 11101 and 22211121, that added together give a palindrome (22222222).

The spelling of 1110122211121 in words is "one trillion, one hundred ten billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty-one".