110101411014 has 128 divisors (see below), whose sum is σ = 271483330560. Its totient is φ = 29070607104.

The previous prime is 110101410983. The next prime is 110101411019. The reversal of 110101411014 is 410114101011.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 110101410984 and 110101411002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101411019) 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 63 ways as a sum of consecutive naturals, for example, 5497002 + ... + 5516994.

It is an arithmetic number, because the mean of its divisors is an integer number (2120963520).

Almost surely, 2^110101411014 is an apocalyptic number.

110101411014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110101411014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135741665280).

110101411014 is an abundant number, since it is smaller than the sum of its proper divisors (161381919546).

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

110101411014 is a wasteful number, since it uses less digits than its factorization.

110101411014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20194.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110101411014 its reverse (410114101011), we get a palindrome (520215512025).

The spelling of 110101411014 in words is "one hundred ten billion, one hundred one million, four hundred eleven thousand, fourteen".