11100122122111 has 8 divisors (see below), whose sum is σ = 12111159516624. Its totient is φ = 10089407291520.

The previous prime is 11100122122079. The next prime is 11100122122207. The reversal of 11100122122111 is 11122122100111.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11100122122111 - 2⁵ = 11100122122079 is a prime.

It is a super-2 number, since 2×11100122122111² (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 (11100122120111) 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 7 ways as a sum of consecutive naturals, for example, 80569020 + ... + 80706673.

It is an arithmetic number, because the mean of its divisors is an integer number (1513894939578).

Almost surely, 2^{11100122122111} is an apocalyptic number.

11100122122111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11100122122111 is a deficient number, since it is larger than the sum of its proper divisors (1011037394513).

11100122122111 is a wasteful number, since it uses less digits than its factorization.

11100122122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161281961.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 11100122122111 its reverse (11122122100111), we get a palindrome (22222244222222).

The spelling of 11100122122111 in words is "eleven trillion, one hundred billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred eleven".