101101111100011 has 32 divisors (see below), whose sum is σ = 113764945821696. Its totient is φ = 89055684900000.

The previous prime is 101101111100009. The next prime is 101101111100057. The reversal of 101101111100011 is 110001111101101.

It is a happy number.

It is not a de Polignac number, because 101101111100011 - 2¹ = 101101111100009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101111100911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186693886 + ... + 187234636.

It is an arithmetic number, because the mean of its divisors is an integer number (3555154556928).

Almost surely, 2^{101101111100011} is an apocalyptic number.

101101111100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101111100011 is a deficient number, since it is larger than the sum of its proper divisors (12663834721685).

101101111100011 is a wasteful number, since it uses less digits than its factorization.

101101111100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544423.

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

Adding to 101101111100011 its reverse (110001111101101), we get a palindrome (211102222201112).

The spelling of 101101111100011 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, one hundred thousand, eleven".