110120211121122 has 24 divisors (see below), whose sum is σ = 243095560401564. Its totient is φ = 36014157095904.

The previous prime is 110120211121003. The next prime is 110120211121139. The reversal of 110120211121122 is 221121112021011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 106213615388001 + 3906595733121 = 10305999^2 + 1976511^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110120211121095 and 110120211121104.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 57714994393 + ... + 57714996300.

Almost surely, 2^{110120211121122} is an apocalyptic number.

110120211121122 is an abundant number, since it is smaller than the sum of its proper divisors (132975349280442).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110120211121122 is a wasteful number, since it uses less digits than its factorization.

110120211121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115429990754 (or 115429990751 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110120211121122 its reverse (221121112021011), we get a palindrome (331241323142133).

The spelling of 110120211121122 in words is "one hundred ten trillion, one hundred twenty billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty-two".