11201000011011 has 12 divisors (see below), whose sum is σ = 17030760250920. Its totient is φ = 7074315796320.

The previous prime is 11201000011009. The next prime is 11201000011027. The reversal of 11201000011011 is 11011000010211.

It is not a de Polignac number, because 11201000011011 - 2¹ = 11201000011009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11201000010984 and 11201000011002.

It is not an unprimeable number, because it can be changed into a prime (11201000011111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32751461850 + ... + 32751462191.

It is an arithmetic number, because the mean of its divisors is an integer number (1419230020910).

Almost surely, 2^{11201000011011} is an apocalyptic number.

11201000011011 is a deficient number, since it is larger than the sum of its proper divisors (5829760239909).

11201000011011 is a wasteful number, since it uses less digits than its factorization.

11201000011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65502924066 (or 65502924063 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11201000011011 its reverse (11011000010211), we get a palindrome (22212000021222).

The spelling of 11201000011011 in words is "eleven trillion, two hundred one billion, eleven thousand, eleven".