100110011000101 has 8 divisors (see below), whose sum is σ = 101539644095808. Its totient is φ = 98680923264000.

The previous prime is 100110011000063. The next prime is 100110011000107. The reversal of 100110011000101 is 101000110011001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100110011000101 - 2²¹ = 100110008902949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110011000107) 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 7 ways as a sum of consecutive naturals, for example, 135970140 + ... + 136704421.

It is an arithmetic number, because the mean of its divisors is an integer number (12692455511976).

Almost surely, 2^{100110011000101} is an apocalyptic number.

It is an amenable number.

100110011000101 is a deficient number, since it is larger than the sum of its proper divisors (1429633095707).

100110011000101 is an equidigital number, since it uses as much as digits as its factorization.

100110011000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272679803.

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

Adding to 100110011000101 its reverse (101000110011001), we get a palindrome (201110121011102).

The spelling of 100110011000101 in words is "one hundred trillion, one hundred ten billion, eleven million, one hundred one", and thus it is an aban number.