101110110110011 has 48 divisors (see below), whose sum is σ = 109711888369920. Its totient is φ = 93141322260480.

The previous prime is 101110110109979. The next prime is 101110110110057. The reversal of 101110110110011 is 110011011011101.

It is a happy number.

It is not a de Polignac number, because 101110110110011 - 2⁵ = 101110110109979 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 101110110110011.

It is not an unprimeable number, because it can be changed into a prime (101110110110311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13408046901 + ... + 13408054441.

It is an arithmetic number, because the mean of its divisors is an integer number (2285664341040).

Almost surely, 2^{101110110110011} is an apocalyptic number.

101110110110011 is a deficient number, since it is larger than the sum of its proper divisors (8601778259909).

101110110110011 is a wasteful number, since it uses less digits than its factorization.

101110110110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12424 (or 12407 counting only the distinct ones).

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

Adding to 101110110110011 its reverse (110011011011101), we get a palindrome (211121121121112).

The spelling of 101110110110011 in words is "one hundred one trillion, one hundred ten billion, one hundred ten million, one hundred ten thousand, eleven".