110400110001 has 40 divisors (see below), whose sum is σ = 171258683904. Its totient is φ = 70799106240.

The previous prime is 110400109999. The next prime is 110400110027. The reversal of 110400110001 is 100011004011.

It is not a de Polignac number, because 110400110001 - 2¹ = 110400109999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (110400110081) 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 39 ways as a sum of consecutive naturals, for example, 287701 + ... + 550973.

Almost surely, 2^110400110001 is an apocalyptic number.

It is an amenable number.

110400110001 is a deficient number, since it is larger than the sum of its proper divisors (60858573903).

110400110001 is a wasteful number, since it uses less digits than its factorization.

110400110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263483 (or 263474 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110400110001 its reverse (100011004011), we get a palindrome (210411114012).

The spelling of 110400110001 in words is "one hundred ten billion, four hundred million, one hundred ten thousand, one".