11201200100111 has 16 divisors (see below), whose sum is σ = 12866325120000. Its totient is φ = 9552318164928.

The previous prime is 11201200100047. The next prime is 11201200100113. The reversal of 11201200100111 is 11100100210211.

It is not a de Polignac number, because 11201200100111 - 2⁶ = 11201200100047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11201200100092 and 11201200100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201200100113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30181571 + ... + 30550443.

It is an arithmetic number, because the mean of its divisors is an integer number (804145320000).

Almost surely, 2^{11201200100111} is an apocalyptic number.

11201200100111 is a deficient number, since it is larger than the sum of its proper divisors (1665125019889).

11201200100111 is a wasteful number, since it uses less digits than its factorization.

11201200100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390878.

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

Adding to 11201200100111 its reverse (11100100210211), we get a palindrome (22301300310322).

The spelling of 11201200100111 in words is "eleven trillion, two hundred one billion, two hundred million, one hundred thousand, one hundred eleven".