11211032101200 has 240 divisors, whose sum is σ = 36897899383296. Its totient is φ = 2907655833600.

The previous prime is 11211032101187. The next prime is 11211032101211. The reversal of 11211032101200 is 210123011211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11211032101200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114991674 + ... + 115089126.

Almost surely, 2^{11211032101200} is an apocalyptic number.

11211032101200 is a gapful number since it is divisible by the number (10) 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 11211032101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18448949691648).

11211032101200 is an abundant number, since it is smaller than the sum of its proper divisors (25686867282096).

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

11211032101200 is a wasteful number, since it uses less digits than its factorization.

11211032101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100102 (or 100091 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11211032101200 its reverse (210123011211), we get a palindrome (11421155112411).

The spelling of 11211032101200 in words is "eleven trillion, two hundred eleven billion, thirty-two million, one hundred one thousand, two hundred".