100010110011001 has 16 divisors (see below), whose sum is σ = 105538949271360. Its totient is φ = 94507797427200.

The previous prime is 100010110010953. The next prime is 100010110011013. The reversal of 100010110011001 is 100110011010001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100010110011001 - 2¹³ = 100010110002809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010110041001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358387810 + ... + 358666756.

It is an arithmetic number, because the mean of its divisors is an integer number (6596184329460).

Almost surely, 2^{100010110011001} is an apocalyptic number.

It is an amenable number.

100010110011001 is a deficient number, since it is larger than the sum of its proper divisors (5528839260359).

100010110011001 is a wasteful number, since it uses less digits than its factorization.

100010110011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326424.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100010110011001 its reverse (100110011010001), we get a palindrome (200120121021002).

It can be divided in two parts, 100010 and 110011001, that added together give a palindrome (110111011).

The spelling of 100010110011001 in words is "one hundred trillion, ten billion, one hundred ten million, eleven thousand, one".