100014114011 has 16 divisors (see below), whose sum is σ = 115726490880. Its totient is φ = 84663027360.

The previous prime is 100014113977. The next prime is 100014114017. The reversal of 100014114011 is 110411410001.

It is a cyclic number.

It is not a de Polignac number, because 100014114011 - 2¹⁰ = 100014112987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100014114017) 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, 20756 + ... + 447726.

It is an arithmetic number, because the mean of its divisors is an integer number (7232905680).

Almost surely, 2^100014114011 is an apocalyptic number.

100014114011 is a deficient number, since it is larger than the sum of its proper divisors (15712376869).

100014114011 is a wasteful number, since it uses less digits than its factorization.

100014114011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427394.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100014114011 its reverse (110411410001), we get a palindrome (210425524012).

The spelling of 100014114011 in words is "one hundred billion, fourteen million, one hundred fourteen thousand, eleven".