110115514400001 has 16 divisors (see below), whose sum is σ = 160168508941248. Its totient is φ = 66736472062400.

The previous prime is 110115514399981. The next prime is 110115514400041. The reversal of 110115514400001 is 100004415511011.

It is a cyclic number.

It is not a de Polignac number, because 110115514400001 - 2¹⁵ = 110115514367233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110115514400041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6291871 + ... + 16118891.

It is an arithmetic number, because the mean of its divisors is an integer number (10010531808828).

Almost surely, 2^{110115514400001} is an apocalyptic number.

110115514400001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110115514400001 is a deficient number, since it is larger than the sum of its proper divisors (50052994541247).

110115514400001 is a wasteful number, since it uses less digits than its factorization.

110115514400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10166592.

The product of its (nonzero) digits is 400, while the sum is 24.

Adding to 110115514400001 its reverse (100004415511011), we get a palindrome (210119929911012).

The spelling of 110115514400001 in words is "one hundred ten trillion, one hundred fifteen billion, five hundred fourteen million, four hundred thousand, one".