11100201200000 has 288 divisors, whose sum is σ = 30381656074560. Its totient is φ = 4036419200000.

The previous prime is 11100201199987. The next prime is 11100201200027. The reversal of 11100201200000 is 210200111.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48285329 + ... + 48514671.

It is an arithmetic number, because the mean of its divisors is an integer number (105491861370).

Almost surely, 2^{11100201200000} is an apocalyptic number.

11100201200000 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 11100201200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15190828037280).

11100201200000 is an abundant number, since it is smaller than the sum of its proper divisors (19281454874560).

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

11100201200000 is an frugal number, since it uses more digits than its factorization.

11100201200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229404 (or 229361 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11100201200000 its reverse (210200111), we get a palindrome (11100411400111).

The spelling of 11100201200000 in words is "eleven trillion, one hundred billion, two hundred one million, two hundred thousand".