11102144120111 has 96 divisors (see below), whose sum is σ = 13179998462400. Its totient is φ = 9343513344000.

The previous prime is 11102144120107. The next prime is 11102144120159.

11102144120111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11102144120111 - 2² = 11102144120107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102144120161) 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 95 ways as a sum of consecutive naturals, for example, 10747476851 + ... + 10747477883.

It is an arithmetic number, because the mean of its divisors is an integer number (137291650650).

Almost surely, 2^{11102144120111} is an apocalyptic number.

11102144120111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11102144120111 is a deficient number, since it is larger than the sum of its proper divisors (2077854342289).

11102144120111 is a wasteful number, since it uses less digits than its factorization.

11102144120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

It can be divided in two parts, 1110214 and 4120111, that added together give a palindrome (5230325).

The spelling of 11102144120111 in words is "eleven trillion, one hundred two billion, one hundred forty-four million, one hundred twenty thousand, one hundred eleven".