10010114000041 has 8 divisors (see below), whose sum is σ = 10355325597000. Its totient is φ = 9664904753280.

The previous prime is 10010114000009. The next prime is 10010114000087. The reversal of 10010114000041 is 14000041101001.

It can be written as a sum of positive squares in 4 ways, for example, as 4393195040025 + 5616918960016 = 2095995^2 + 2370004^2 .

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 10010114000041 - 2⁵ = 10010114000009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010113999985 and 10010114000030.

It is not an unprimeable number, because it can be changed into a prime (10010114004041) 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, 16609461 + ... + 17201581.

It is an arithmetic number, because the mean of its divisors is an integer number (1294415699625).

Almost surely, 2^{10010114000041} is an apocalyptic number.

It is an amenable number.

10010114000041 is a deficient number, since it is larger than the sum of its proper divisors (345211596959).

10010114000041 is an equidigital number, since it uses as much as digits as its factorization.

10010114000041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175099.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10010114000041 its reverse (14000041101001), we get a palindrome (24010155101042).

The spelling of 10010114000041 in words is "ten trillion, ten billion, one hundred fourteen million, forty-one", and thus it is an aban number.