101100100011 has 16 divisors (see below), whose sum is σ = 135826118400. Its totient is φ = 66887476128.

The previous prime is 101100099959. The next prime is 101100100027. The reversal of 101100100011 is 110001001101.

It is not a de Polignac number, because 101100100011 - 2¹³ = 101100091819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101100100091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983970 + ... + 1081848.

It is an arithmetic number, because the mean of its divisors is an integer number (8489132400).

Almost surely, 2^101100100011 is an apocalyptic number.

101100100011 is a deficient number, since it is larger than the sum of its proper divisors (34726018389).

101100100011 is a wasteful number, since it uses less digits than its factorization.

101100100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100498.

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

Adding to 101100100011 its reverse (110001001101), we get a palindrome (211101101112).

The spelling of 101100100011 in words is "one hundred one billion, one hundred million, one hundred thousand, eleven".