101100000111011 has 4 divisors (see below), whose sum is σ = 110290909212024. Its totient is φ = 91909091010000.

The previous prime is 101100000110987. The next prime is 101100000111017. The reversal of 101100000111011 is 110111000001101.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 101100000111011 - 2²² = 101099995916707 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101100000111011.

It is not an unprimeable number, because it can be changed into a prime (101100000111017) 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 3 ways as a sum of consecutive naturals, for example, 4595454550490 + ... + 4595454550511.

It is an arithmetic number, because the mean of its divisors is an integer number (27572727303006).

Almost surely, 2^{101100000111011} is an apocalyptic number.

101100000111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101100000111011 is a deficient number, since it is larger than the sum of its proper divisors (9190909101013).

101100000111011 is an equidigital number, since it uses as much as digits as its factorization.

101100000111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9190909101012.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101100000111011 its reverse (110111000001101), we get a palindrome (211211000112112).

The spelling of 101100000111011 in words is "one hundred one trillion, one hundred billion, one hundred eleven thousand, eleven".