101101201100011 has 16 divisors (see below), whose sum is σ = 121931866620160. Its totient is φ = 81890421893280.

The previous prime is 101101201099991. The next prime is 101101201100017. The reversal of 101101201100011 is 110001102101101.

It is not a de Polignac number, because 101101201100011 - 2¹⁷ = 101101200968939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101201100017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 957326805 + ... + 957432406.

It is an arithmetic number, because the mean of its divisors is an integer number (7620741663760).

Almost surely, 2^{101101201100011} is an apocalyptic number.

101101201100011 is a deficient number, since it is larger than the sum of its proper divisors (20830665520149).

101101201100011 is a wasteful number, since it uses less digits than its factorization.

101101201100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914759634.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101101201100011 its reverse (110001102101101), we get a palindrome (211102303201112).

The spelling of 101101201100011 in words is "one hundred one trillion, one hundred one billion, two hundred one million, one hundred thousand, eleven".