11101202112 has 672 divisors, whose sum is σ = 40862707200. Its totient is φ = 2587115520.

The previous prime is 11101202081. The next prime is 11101202153. The reversal of 11101202112 is 21120210111.

11101202112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124732564 + ... + 124732652.

It is an arithmetic number, because the mean of its divisors is an integer number (60807600).

Almost surely, 2^11101202112 is an apocalyptic number.

11101202112 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 11101202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20431353600).

11101202112 is an abundant number, since it is smaller than the sum of its proper divisors (29761505088).

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

11101202112 is a wasteful number, since it uses less digits than its factorization.

11101202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11101202112 its reverse (21120210111), we get a palindrome (32221412223).

The spelling of 11101202112 in words is "eleven billion, one hundred one million, two hundred two thousand, one hundred twelve".