11201240100000 has 576 divisors, whose sum is σ = 37306212249600. Its totient is φ = 2942160000000.

The previous prime is 11201240099977. The next prime is 11201240100031. The reversal of 11201240100000 is 104210211.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14915099625 + ... + 14915100375.

It is an arithmetic number, because the mean of its divisors is an integer number (64767729600).

Almost surely, 2^{11201240100000} is an apocalyptic number.

11201240100000 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 11201240100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18653106124800).

11201240100000 is an abundant number, since it is smaller than the sum of its proper divisors (26104972149600).

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

11201240100000 is an frugal number, since it uses more digits than its factorization.

11201240100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11201240100000 its reverse (104210211), we get a palindrome (11201344310211).

The spelling of 11201240100000 in words is "eleven trillion, two hundred one billion, two hundred forty million, one hundred thousand".