110001100211121 has 32 divisors (see below), whose sum is σ = 176554611942400. Its totient is φ = 59511754036800.

The previous prime is 110001100211117. The next prime is 110001100211129. The reversal of 110001100211121 is 121112001100011.

It is not a de Polignac number, because 110001100211121 - 2² = 110001100211117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110001100211097 and 110001100211106.

It is not an unprimeable number, because it can be changed into a prime (110001100211129) 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 31 ways as a sum of consecutive naturals, for example, 86669530 + ... + 87929571.

It is an arithmetic number, because the mean of its divisors is an integer number (5517331623200).

Almost surely, 2^{110001100211121} is an apocalyptic number.

It is an amenable number.

110001100211121 is a deficient number, since it is larger than the sum of its proper divisors (66553511731279).

110001100211121 is a wasteful number, since it uses less digits than its factorization.

110001100211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174600709.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110001100211121 its reverse (121112001100011), we get a palindrome (231113101311132).

The spelling of 110001100211121 in words is "one hundred ten trillion, one billion, one hundred million, two hundred eleven thousand, one hundred twenty-one".