101111000110011 has 24 divisors (see below), whose sum is σ = 150594094398384. Its totient is φ = 65324216664000.

The previous prime is 101111000109967. The next prime is 101111000110031. The reversal of 101111000110011 is 110011000111101.

It is not a de Polignac number, because 101111000110011 - 2⁹ = 101111000109499 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 = 101111000109975 and 101111000110002.

It is not an unprimeable number, because it can be changed into a prime (101111000110031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604770276 + ... + 604937441.

It is an arithmetic number, because the mean of its divisors is an integer number (6274753933266).

Almost surely, 2^{101111000110011} is an apocalyptic number.

101111000110011 is a deficient number, since it is larger than the sum of its proper divisors (49483094288373).

101111000110011 is a wasteful number, since it uses less digits than its factorization.

101111000110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209708011 (or 1209708008 counting only the distinct ones).

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

Adding to 101111000110011 its reverse (110011000111101), we get a palindrome (211122000221112).

The spelling of 101111000110011 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten thousand, eleven".