201102121112113 has 8 divisors (see below), whose sum is σ = 218152329024168. Its totient is φ = 184277743768704.

The previous prime is 201102121112107. The next prime is 201102121112149. The reversal of 201102121112113 is 311211121201102.

It can be written as a sum of positive squares in 4 ways, for example, as 738322592049 + 200363798520064 = 859257^2 + 14154992^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201102121112113 - 2⁹ = 201102121111601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201102121112183) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56457640306 + ... + 56457643867.

It is an arithmetic number, because the mean of its divisors is an integer number (27269041128021).

Almost surely, 2^{201102121112113} is an apocalyptic number.

It is an amenable number.

201102121112113 is a deficient number, since it is larger than the sum of its proper divisors (17050207912055).

201102121112113 is a wasteful number, since it uses less digits than its factorization.

201102121112113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112915284323.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 201102121112113 its reverse (311211121201102), we get a palindrome (512313242313215).

The spelling of 201102121112113 in words is "two hundred one trillion, one hundred two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred thirteen".