101101100101112 has 8 divisors (see below), whose sum is σ = 189564562689600. Its totient is φ = 50550550050552.

The previous prime is 101101100101091. The next prime is 101101100101151. The reversal of 101101100101112 is 211101001101101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 101101100101093 and 101101100101102.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 6318818756312 + ... + 6318818756327.

It is an arithmetic number, because the mean of its divisors is an integer number (23695570336200).

Almost surely, 2^{101101100101112} is an apocalyptic number.

It is an amenable number.

101101100101112 is a deficient number, since it is larger than the sum of its proper divisors (88463462588488).

101101100101112 is a wasteful number, since it uses less digits than its factorization.

101101100101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12637637512645 (or 12637637512641 counting only the distinct ones).

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

Adding to 101101100101112 its reverse (211101001101101), we get a palindrome (312202101202213).

The spelling of 101101100101112 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred one thousand, one hundred twelve".