100101100000011 has 24 divisors (see below), whose sum is σ = 153668170655424. Its totient is φ = 57474315782640.

The previous prime is 100101100000009. The next prime is 100101100000061. The reversal of 100101100000011 is 110000001101001.

It is not a de Polignac number, because 100101100000011 - 2¹ = 100101100000009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101100000061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4201326961 + ... + 4201350786.

It is an arithmetic number, because the mean of its divisors is an integer number (6402840443976).

Almost surely, 2^{100101100000011} is an apocalyptic number.

100101100000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101100000011 is a deficient number, since it is larger than the sum of its proper divisors (53567070655413).

100101100000011 is a wasteful number, since it uses less digits than its factorization.

100101100000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8402677799 (or 8402677780 counting only the distinct ones).

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

Adding to 100101100000011 its reverse (110000001101001), we get a palindrome (210101101101012).

The spelling of 100101100000011 in words is "one hundred trillion, one hundred one billion, one hundred million, eleven", and thus it is an aban number.