201101110122112 has 16 divisors (see below), whose sum is σ = 400631117821650. Its totient is φ = 100550555060992.

The previous prime is 201101110122071. The next prime is 201101110122161. The reversal of 201101110122112 is 211221011101102.

201101110122112 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 only one way, i.e., 172361818424896 + 28739291697216 = 13128664^2 + 5360904^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 785551211287 + ... + 785551211542.

Almost surely, 2^{201101110122112} is an apocalyptic number.

It is an amenable number.

201101110122112 is a deficient number, since it is larger than the sum of its proper divisors (199530007699538).

201101110122112 is an equidigital number, since it uses as much as digits as its factorization.

201101110122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571102422843 (or 1571102422831 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 201101110122112 its reverse (211221011101102), we get a palindrome (412322121223214).

The spelling of 201101110122112 in words is "two hundred one trillion, one hundred one billion, one hundred ten million, one hundred twenty-two thousand, one hundred twelve".