11101002122111 has 24 divisors (see below), whose sum is σ = 12462212835072. Its totient is φ = 9876569978000.

The previous prime is 11101002122101. The next prime is 11101002122141. The reversal of 11101002122111 is 11122120010111.

It is not a de Polignac number, because 11101002122111 - 2¹⁸ = 11101001859967 is a prime.

It is a super-2 number, since 2×11101002122111² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101002122101) 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 23 ways as a sum of consecutive naturals, for example, 137602136 + ... + 137682786.

It is an arithmetic number, because the mean of its divisors is an integer number (519258868128).

Almost surely, 2^{11101002122111} is an apocalyptic number.

11101002122111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11101002122111 is a deficient number, since it is larger than the sum of its proper divisors (1361210712961).

11101002122111 is a wasteful number, since it uses less digits than its factorization.

11101002122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104923 (or 104912 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11101002122111 its reverse (11122120010111), we get a palindrome (22223122132222).

The spelling of 11101002122111 in words is "eleven trillion, one hundred one billion, two million, one hundred twenty-two thousand, one hundred eleven".