101101120110112 has 24 divisors (see below), whose sum is σ = 199043874568476. Its totient is φ = 50550294822912.

The previous prime is 101101120110077. The next prime is 101101120110149. The reversal of 101101120110112 is 211011021101101.

101101120110112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 53570630086416 + 47530490023696 = 7319196^2 + 6894236^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101101120110092 and 101101120110101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2021433 + ... + 14362744.

Almost surely, 2^{101101120110112} is an apocalyptic number.

It is an amenable number.

101101120110112 is a deficient number, since it is larger than the sum of its proper divisors (97942754458364).

101101120110112 is a wasteful number, since it uses less digits than its factorization.

101101120110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16577020 (or 16577012 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101101120110112 its reverse (211011021101101), we get a palindrome (312112141211213).

The spelling of 101101120110112 in words is "one hundred one trillion, one hundred one billion, one hundred twenty million, one hundred ten thousand, one hundred twelve".