11201111210000 has 100 divisors (see below), whose sum is σ = 27158732636112. Its totient is φ = 4473881808000.

The previous prime is 11201111209963. The next prime is 11201111210011. The reversal of 11201111210000 is 1211110211.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

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, 6010007 + ... + 7649993.

Almost surely, 2^{11201111210000} is an apocalyptic number.

11201111210000 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 11201111210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13579366318056).

11201111210000 is an abundant number, since it is smaller than the sum of its proper divisors (15957621426112).

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

11201111210000 is an equidigital number, since it uses as much as digits as its factorization.

11201111210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640698 (or 1640677 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11201111210000 its reverse (1211110211), we get a palindrome (11202322320211).

The spelling of 11201111210000 in words is "eleven trillion, two hundred one billion, one hundred eleven million, two hundred ten thousand".