101110111000011 has 24 divisors (see below), whose sum is σ = 149996852263440. Its totient is φ = 65584205534016.

The previous prime is 101110110999913. The next prime is 101110111000037. The reversal of 101110111000011 is 110000111011101.

It is not a de Polignac number, because 101110111000011 - 2⁷ = 101110110999883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101110110999957 and 101110111000002.

It is not an unprimeable number, because it can be changed into a prime (101110111000051) 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 23 ways as a sum of consecutive naturals, for example, 29052136 + ... + 32345738.

It is an arithmetic number, because the mean of its divisors is an integer number (6249868844310).

Almost surely, 2^{101110111000011} is an apocalyptic number.

101110111000011 is a deficient number, since it is larger than the sum of its proper divisors (48886741263429).

101110111000011 is a wasteful number, since it uses less digits than its factorization.

101110111000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385835 (or 3385832 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101110111000011 its reverse (110000111011101), we get a palindrome (211110222011112).

It can be divided in two parts, 1011101 and 11000011, that multiplied together give a palindrome (11122122122111).

The spelling of 101110111000011 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, eleven", and thus it is an aban number.