11101001050111 has 24 divisors (see below), whose sum is σ = 13371558408000. Its totient is φ = 9178191941184.

The previous prime is 11101001050001. The next prime is 11101001050121. The reversal of 11101001050111 is 11105010010111.

It is not a de Polignac number, because 11101001050111 - 2¹⁵ = 11101001017343 is a prime.

It is a super-2 number, since 2×11101001050111² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11101001050091 and 11101001050100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101001050121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2283016 + ... + 5235853.

It is an arithmetic number, because the mean of its divisors is an integer number (557148267000).

Almost surely, 2^{11101001050111} is an apocalyptic number.

11101001050111 is a deficient number, since it is larger than the sum of its proper divisors (2270557357889).

11101001050111 is a wasteful number, since it uses less digits than its factorization.

11101001050111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7519951 (or 7519944 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 13.

Adding to 11101001050111 its reverse (11105010010111), we get a palindrome (22206011060222).

The spelling of 11101001050111 in words is "eleven trillion, one hundred one billion, one million, fifty thousand, one hundred eleven".