100011121110001 has 16 divisors (see below), whose sum is σ = 101523762920448. Its totient is φ = 98508819528000.

The previous prime is 100011121109981. The next prime is 100011121110097.

100011121110001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 100011121110001 - 2⁵ = 100011121109969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100011121110001.

It is not an unprimeable number, because it can be changed into a prime (100011121150001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211926016 + ... + 212397406.

It is an arithmetic number, because the mean of its divisors is an integer number (6345235182528).

Almost surely, 2^{100011121110001} is an apocalyptic number.

It is an amenable number.

100011121110001 is a deficient number, since it is larger than the sum of its proper divisors (1512641810447).

100011121110001 is a wasteful number, since it uses less digits than its factorization.

100011121110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482352.

The product of its (nonzero) digits is 2, while the sum is 10.

The spelling of 100011121110001 in words is "one hundred trillion, eleven billion, one hundred twenty-one million, one hundred ten thousand, one".