101101110110011 has 32 divisors (see below), whose sum is σ = 113910063759360. Its totient is φ = 88898292633600.

The previous prime is 101101110109991. The next prime is 101101110110093. The reversal of 101101110110011 is 110011011101101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101101110110011 - 2⁹ = 101101110109499 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101101110110011.

It is not an unprimeable number, because it can be changed into a prime (101101110110711) 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 31 ways as a sum of consecutive naturals, for example, 9841434571 + ... + 9841444843.

It is an arithmetic number, because the mean of its divisors is an integer number (3559689492480).

Almost surely, 2^{101101110110011} is an apocalyptic number.

101101110110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101110110011 is a deficient number, since it is larger than the sum of its proper divisors (12808953649349).

101101110110011 is a wasteful number, since it uses less digits than its factorization.

101101110110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22747.

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

Adding to 101101110110011 its reverse (110011011101101), we get a palindrome (211112121211112).

The spelling of 101101110110011 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one hundred ten thousand, eleven".