2101113302112 has 144 divisors (see below), whose sum is σ = 6521728711680. Its totient is φ = 636358905600.

The previous prime is 2101113302089. The next prime is 2101113302147. The reversal of 2101113302112 is 2112033111012.

2101113302112 is a `hidden beast` number, since 2 + 10 + 111 + 330 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5750089 + ... + 6104567.

It is an arithmetic number, because the mean of its divisors is an integer number (45289782720).

Almost surely, 2^{2101113302112} is an apocalyptic number.

2101113302112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101113302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260864355840).

2101113302112 is an abundant number, since it is smaller than the sum of its proper divisors (4420615409568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101113302112 is a wasteful number, since it uses less digits than its factorization.

2101113302112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356377 (or 356366 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2101113302112 its reverse (2112033111012), we get a palindrome (4213146413124).

The spelling of 2101113302112 in words is "two trillion, one hundred one billion, one hundred thirteen million, three hundred two thousand, one hundred twelve".