11201101002112 has 128 divisors (see below), whose sum is σ = 25925890636800. Its totient is φ = 4720808355840.

The previous prime is 11201101002103. The next prime is 11201101002121. The reversal of 11201101002112 is 21120010110211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11201101002103) and next prime (11201101002121).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 11201101002092 and 11201101002101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308187013 + ... + 308223355.

It is an arithmetic number, because the mean of its divisors is an integer number (202546020600).

Almost surely, 2^{11201101002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201101002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12962945318400).

11201101002112 is an abundant number, since it is smaller than the sum of its proper divisors (14724789634688).

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

11201101002112 is an equidigital number, since it uses as much as digits as its factorization.

11201101002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42064 (or 42052 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11201101002112 its reverse (21120010110211), we get a palindrome (32321111112323).

The spelling of 11201101002112 in words is "eleven trillion, two hundred one billion, one hundred one million, two thousand, one hundred twelve".