11201102102112 has 96 divisors (see below), whose sum is σ = 31960585746432. Its totient is φ = 3414282699264.

The previous prime is 11201102102053. The next prime is 11201102102137. The reversal of 11201102102112 is 21120120110211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 11201102102091 and 11201102102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41806848 + ... + 42073919.

It is an arithmetic number, because the mean of its divisors is an integer number (332922768192).

Almost surely, 2^{11201102102112} is an apocalyptic number.

11201102102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11201102102112 is an abundant number, since it is smaller than the sum of its proper divisors (20759483644320).

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

11201102102112 is a wasteful number, since it uses less digits than its factorization.

11201102102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83880900 (or 83880892 counting only the distinct ones).

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

Adding to 11201102102112 its reverse (21120120110211), we get a palindrome (32321222212323).

The spelling of 11201102102112 in words is "eleven trillion, two hundred one billion, one hundred two million, one hundred two thousand, one hundred twelve".