11201211002112 has 144 divisors (see below), whose sum is σ = 30031456264320. Its totient is φ = 3706232832000.

The previous prime is 11201211002077. The next prime is 11201211002141. The reversal of 11201211002112 is 21120011210211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11201211002091 and 11201211002100.

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, 157796964 + ... + 157867932.

Almost surely, 2^{11201211002112} is an apocalyptic number.

11201211002112 is a gapful number since it is divisible by the number (12) 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 11201211002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15015728132160).

11201211002112 is an abundant number, since it is smaller than the sum of its proper divisors (18830245262208).

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

11201211002112 is a wasteful number, since it uses less digits than its factorization.

11201211002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72500 (or 72486 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11201211002112 its reverse (21120011210211), we get a palindrome (32321222212323).

The spelling of 11201211002112 in words is "eleven trillion, two hundred one billion, two hundred eleven million, two thousand, one hundred twelve".