201102112102113 has 24 divisors (see below), whose sum is σ = 294747193630656. Its totient is φ = 132111565236000.

The previous prime is 201102112102037. The next prime is 201102112102121. The reversal of 201102112102113 is 311201211201102.

It is a happy number.

201102112102113 is a `hidden beast` number, since 20 + 1 + 10 + 211 + 210 + 211 + 3 = 666.

It is not a de Polignac number, because 201102112102113 - 2¹⁶ = 201102112036577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201102112102513) by changing a digit.

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 in 23 ways as a sum of consecutive naturals, for example, 524060445 + ... + 524444042.

It is an arithmetic number, because the mean of its divisors is an integer number (12281133067944).

Almost surely, 2^{201102112102113} is an apocalyptic number.

It is an amenable number.

201102112102113 is a deficient number, since it is larger than the sum of its proper divisors (93645081528543).

201102112102113 is a wasteful number, since it uses less digits than its factorization.

201102112102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048504805 (or 1048504802 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 201102112102113 its reverse (311201211201102), we get a palindrome (512303323303215).

The spelling of 201102112102113 in words is "two hundred one trillion, one hundred two billion, one hundred twelve million, one hundred two thousand, one hundred thirteen".