10000100111001 has 64 divisors (see below), whose sum is σ = 18386122653696. Its totient is φ = 4665651321600.

The previous prime is 10000100110997. The next prime is 10000100111033. The reversal of 10000100111001 is 10011100100001.

It is not a de Polignac number, because 10000100111001 - 2² = 10000100110997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10000100115001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44889385 + ... + 45111606.

It is an arithmetic number, because the mean of its divisors is an integer number (287283166464).

Almost surely, 2^{10000100111001} is an apocalyptic number.

10000100111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000100111001 is a deficient number, since it is larger than the sum of its proper divisors (8386022542695).

10000100111001 is a wasteful number, since it uses less digits than its factorization.

10000100111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90001062.

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

Adding to 10000100111001 its reverse (10011100100001), we get a palindrome (20011200211002).

It can be divided in two parts, 10000100 and 111001, that added together give a palindrome (10111101).

The spelling of 10000100111001 in words is "ten trillion, one hundred million, one hundred eleven thousand, one".