101100000010011 has 16 divisors (see below), whose sum is σ = 138470816863008. Its totient is φ = 65565317203200.

The previous prime is 101100000009959. The next prime is 101100000010099. The reversal of 101100000010011 is 110010000001101.

It is not a de Polignac number, because 101100000010011 - 2²⁷ = 101099865792283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100000010111) 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, 90142810 + ... + 91257471.

It is an arithmetic number, because the mean of its divisors is an integer number (8654426053938).

Almost surely, 2^{101100000010011} is an apocalyptic number.

101100000010011 is a deficient number, since it is larger than the sum of its proper divisors (37370816852997).

101100000010011 is a wasteful number, since it uses less digits than its factorization.

101100000010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181405342.

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

Adding to 101100000010011 its reverse (110010000001101), we get a palindrome (211110000011112).

The spelling of 101100000010011 in words is "one hundred one trillion, one hundred billion, ten thousand, eleven".