11201014000 has 80 divisors (see below), whose sum is σ = 29546296416. Its totient is φ = 4073088000.

The previous prime is 11201013997. The next prime is 11201014001. The reversal of 11201014000 is 41010211.

11201014000 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 (80).

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 (11201014001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 232569 + ... + 276568.

Almost surely, 2^11201014000 is an apocalyptic number.

11201014000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201014000 is an abundant number, since it is smaller than the sum of its proper divisors (18345282416).

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

11201014000 is a wasteful number, since it uses less digits than its factorization.

11201014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509171 (or 509155 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11201014000 its reverse (41010211), we get a palindrome (11242024211).

The spelling of 11201014000 in words is "eleven billion, two hundred one million, fourteen thousand".