101110111001011 has 16 divisors (see below), whose sum is σ = 119540290587840. Its totient is φ = 83676463073280.

The previous prime is 101110111000961. The next prime is 101110111001033. The reversal of 101110111001011 is 110100111011101.

It is a happy number.

It is not a de Polignac number, because 101110111001011 - 2⁹ = 101110111000499 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101110111004011) 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, 17356671 + ... + 22438231.

It is an arithmetic number, because the mean of its divisors is an integer number (7471268161740).

Almost surely, 2^{101110111001011} is an apocalyptic number.

101110111001011 is a deficient number, since it is larger than the sum of its proper divisors (18430179586829).

101110111001011 is an equidigital number, since it uses as much as digits as its factorization.

101110111001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179614.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101110111001011 its reverse (110100111011101), we get a palindrome (211210222012112).

The spelling of 101110111001011 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, one thousand, eleven".