100010011010001 has 32 divisors (see below), whose sum is σ = 134705069072640. Its totient is φ = 65995406380800.

The previous prime is 100010011009967. The next prime is 100010011010011. The reversal of 100010011010001 is 100010110010001.

It is not a de Polignac number, because 100010011010001 - 2¹⁰ = 100010011008977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100010011010011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1429884691 + ... + 1429954631.

It is an arithmetic number, because the mean of its divisors is an integer number (4209533408520).

Almost surely, 2^{100010011010001} is an apocalyptic number.

It is an amenable number.

100010011010001 is a deficient number, since it is larger than the sum of its proper divisors (34695058062639).

100010011010001 is a wasteful number, since it uses less digits than its factorization.

100010011010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74377.

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

Adding to 100010011010001 its reverse (100010110010001), we get a palindrome (200020121020002).

It can be divided in two parts, 1000 and 10011010001, that added together give a palindrome (10011011001).

The spelling of 100010011010001 in words is "one hundred trillion, ten billion, eleven million, ten thousand, one".