100010110001001 has 32 divisors (see below), whose sum is σ = 138241296805248. Its totient is φ = 64260218880000.

The previous prime is 100010110000951. The next prime is 100010110001059. The reversal of 100010110001001 is 100100011010001.

It is not a de Polignac number, because 100010110001001 - 2¹³ = 100010109992809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100010110001401) 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, 157802251 + ... + 158434751.

It is an arithmetic number, because the mean of its divisors is an integer number (4320040525164).

Almost surely, 2^{100010110001001} is an apocalyptic number.

It is an amenable number.

100010110001001 is a deficient number, since it is larger than the sum of its proper divisors (38231186804247).

100010110001001 is a wasteful number, since it uses less digits than its factorization.

100010110001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645961.

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

Adding to 100010110001001 its reverse (100100011010001), we get a palindrome (200110121011002).

It can be divided in two parts, 100010 and 110001001, that added together give a palindrome (110101011).

The spelling of 100010110001001 in words is "one hundred trillion, ten billion, one hundred ten million, one thousand, one".