110142141241011 has 48 divisors (see below), whose sum is σ = 163196097496320. Its totient is φ = 66019956552000.

The previous prime is 110142141240917. The next prime is 110142141241019.

110142141241011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110142141241011 - 2¹¹ = 110142141238963 is a prime.

It is a super-2 number, since 2×110142141241011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110142141241019) 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 47 ways as a sum of consecutive naturals, for example, 32058816 + ... + 35327778.

It is an arithmetic number, because the mean of its divisors is an integer number (3399918697840).

Almost surely, 2^{110142141241011} is an apocalyptic number.

110142141241011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110142141241011 is a deficient number, since it is larger than the sum of its proper divisors (53053956255309).

110142141241011 is a wasteful number, since it uses less digits than its factorization.

110142141241011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270008 (or 3269997 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

The spelling of 110142141241011 in words is "one hundred ten trillion, one hundred forty-two billion, one hundred forty-one million, two hundred forty-one thousand, eleven".