110400111211 has 8 divisors (see below), whose sum is σ = 125149923920. Its totient is φ = 96544226592.

The previous prime is 110400111203. The next prime is 110400111257. The reversal of 110400111211 is 112111004011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110400111211 - 2³ = 110400111203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110400111191 and 110400111200.

It is not an unprimeable number, because it can be changed into a prime (110400111911) 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 7 ways as a sum of consecutive naturals, for example, 223481760 + ... + 223482253.

It is an arithmetic number, because the mean of its divisors is an integer number (15643740490).

Almost surely, 2^110400111211 is an apocalyptic number.

110400111211 is a deficient number, since it is larger than the sum of its proper divisors (14749812709).

110400111211 is a wasteful number, since it uses less digits than its factorization.

110400111211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446964045.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110400111211 its reverse (112111004011), we get a palindrome (222511115222).

The spelling of 110400111211 in words is "one hundred ten billion, four hundred million, one hundred eleven thousand, two hundred eleven".