11110201120000 has 180 divisors, whose sum is σ = 27853133984676. Its totient is φ = 4421509120000.

The previous prime is 11110201119959. The next prime is 11110201120009. The reversal of 11110201120000 is 2110201111.

It can be written as a sum of positive squares in 10 ways, for example, as 4596598785024 + 6513602334976 = 2143968^2 + 2552176^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110201120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31343760 + ... + 31696240.

Almost surely, 2^{11110201120000} is an apocalyptic number.

11110201120000 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 11110201120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13926566992338).

11110201120000 is an abundant number, since it is smaller than the sum of its proper divisors (16742932864676).

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

11110201120000 is an frugal number, since it uses more digits than its factorization.

11110201120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352714 (or 352685 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11110201120000 its reverse (2110201111), we get a palindrome (11112311321111).

The spelling of 11110201120000 in words is "eleven trillion, one hundred ten billion, two hundred one million, one hundred twenty thousand".