100011000110001 has 64 divisors (see below), whose sum is σ = 144352460937216. Its totient is φ = 61467376435200.

The previous prime is 100011000109963. The next prime is 100011000110027.

100011000110001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100011000110001 - 2³⁵ = 99976640371633 is a prime.

100011000110001 is a strobogrammatic number because it is the same when read upside-down.

100011000110001 is a modest number, since divided by 1000110001 gives 10001 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100011000110071) 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 63 ways as a sum of consecutive naturals, for example, 32960361 + ... + 35866521.

It is an arithmetic number, because the mean of its divisors is an integer number (2255507202144).

Almost surely, 2^{100011000110001} is an apocalyptic number.

It is an amenable number.

100011000110001 is a deficient number, since it is larger than the sum of its proper divisors (44341460827215).

100011000110001 is a wasteful number, since it uses less digits than its factorization.

100011000110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906442.

The product of its (nonzero) digits is 1, while the sum is 6.

It can be divided in two parts, 1000110001 and 10001, that multiplied together give a palindrome (10002100120001).

The spelling of 100011000110001 in words is "one hundred trillion, eleven billion, one hundred ten thousand, one".