100011010100001 has 96 divisors (see below), whose sum is σ = 187163193184128. Its totient is φ = 46661183170560.

The previous prime is 100011010099969. The next prime is 100011010100017. The reversal of 100011010100001 is 100001010110001.

It is not a de Polignac number, because 100011010100001 - 2⁵ = 100011010099969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100011010100081) 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 95 ways as a sum of consecutive naturals, for example, 63515080 + ... + 65070633.

It is an arithmetic number, because the mean of its divisors is an integer number (1949616595668).

Almost surely, 2^{100011010100001} is an apocalyptic number.

100011010100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011010100001 is a deficient number, since it is larger than the sum of its proper divisors (87152183084127).

100011010100001 is a wasteful number, since it uses less digits than its factorization.

100011010100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128585791 (or 128585784 counting only the distinct ones).

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

Adding to 100011010100001 its reverse (100001010110001), we get a palindrome (200012020210002).

It can be divided in two parts, 1000110 and 10100001, that added together give a palindrome (11100111).

The spelling of 100011010100001 in words is "one hundred trillion, eleven billion, ten million, one hundred thousand, one".