11201101112111 has 16 divisors (see below), whose sum is σ = 11335061975328. Its totient is φ = 11068072243200.

The previous prime is 11201101112081. The next prime is 11201101112129. The reversal of 11201101112111 is 11121110110211.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11201101112111 is a prime.

It is a super-2 number, since 2×11201101112111² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201101112171) 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, 28695731 + ... + 29083451.

It is an arithmetic number, because the mean of its divisors is an integer number (708441373458).

Almost surely, 2^{11201101112111} is an apocalyptic number.

11201101112111 is a deficient number, since it is larger than the sum of its proper divisors (133960863217).

11201101112111 is a wasteful number, since it uses less digits than its factorization.

11201101112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388922.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 11201101112111 its reverse (11121110110211), we get a palindrome (22322211222322).

The spelling of 11201101112111 in words is "eleven trillion, two hundred one billion, one hundred one million, one hundred twelve thousand, one hundred eleven".