101101111112 has 32 divisors (see below), whose sum is σ = 191961802200. Its totient is φ = 49913708544.

The previous prime is 101101111031. The next prime is 101101111151. The reversal of 101101111112 is 211111101101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 55002444676 + 46098666436 = 234526^2 + 214706^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101101111093 and 101101111102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185564 + ... + 486452.

Almost surely, 2^101101111112 is an apocalyptic number.

It is an amenable number.

101101111112 is a deficient number, since it is larger than the sum of its proper divisors (90860691088).

101101111112 is a wasteful number, since it uses less digits than its factorization.

101101111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301425 (or 301421 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101101111112 its reverse (211111101101), we get a palindrome (312212212213).

The spelling of 101101111112 in words is "one hundred one billion, one hundred one million, one hundred eleven thousand, one hundred twelve".