11102100120111 has 288 divisors, whose sum is σ = 20930889328128. Its totient is φ = 5169899105280.

The previous prime is 11102100120071. The next prime is 11102100120157.

11102100120111 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-11102100120111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102100120161) 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 287 ways as a sum of consecutive naturals, for example, 9939211725 + ... + 9939212841.

It is an arithmetic number, because the mean of its divisors is an integer number (72676699056).

Almost surely, 2^{11102100120111} is an apocalyptic number.

11102100120111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11102100120111 is a deficient number, since it is larger than the sum of its proper divisors (9828789208017).

11102100120111 is a wasteful number, since it uses less digits than its factorization.

11102100120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 11102100 and 120111, that added together give a palindrome (11222211).

The spelling of 11102100120111 in words is "eleven trillion, one hundred two billion, one hundred million, one hundred twenty thousand, one hundred eleven".