101100111100011 has 6 divisors (see below), whose sum is σ = 146033493811140. Its totient is φ = 67400074066668.

The previous prime is 101100111100007. The next prime is 101100111100019. The reversal of 101100111100011 is 110001111001101.

It is not a de Polignac number, because 101100111100011 - 2² = 101100111100007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11233345677779 = 101100111100011 / (1 + 0 + 1 + 1 + 0 + 0 + 1 + 1 + 1 + 1 + 0 + 0 + 0 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 101100111099966 and 101100111100002.

It is not an unprimeable number, because it can be changed into a prime (101100111100019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5616672838881 + ... + 5616672838898.

It is an arithmetic number, because the mean of its divisors is an integer number (24338915635190).

Almost surely, 2^{101100111100011} is an apocalyptic number.

101100111100011 is a deficient number, since it is larger than the sum of its proper divisors (44933382711129).

101100111100011 is a wasteful number, since it uses less digits than its factorization.

101100111100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11233345677785 (or 11233345677782 counting only the distinct ones).

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

Adding to 101100111100011 its reverse (110001111001101), we get a palindrome (211101222101112).

The spelling of 101100111100011 in words is "one hundred one trillion, one hundred billion, one hundred eleven million, one hundred thousand, eleven".