11112100121111 has 12 divisors (see below), whose sum is σ = 12214375341672. Its totient is φ = 10101703458000.

The previous prime is 11112100121053. The next prime is 11112100121123.

11112100121111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11112100121111 - 2¹⁰ = 11112100120087 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112100121141) 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 11 ways as a sum of consecutive naturals, for example, 5195816 + ... + 7015746.

It is an arithmetic number, because the mean of its divisors is an integer number (1017864611806).

Almost surely, 2^{11112100121111} is an apocalyptic number.

11112100121111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11112100121111 is a deficient number, since it is larger than the sum of its proper divisors (1102275220561).

11112100121111 is a wasteful number, since it uses less digits than its factorization.

11112100121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870414 (or 1870403 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 11112100 and 121111, that added together give a palindrome (11233211).

The spelling of 11112100121111 in words is "eleven trillion, one hundred twelve billion, one hundred million, one hundred twenty-one thousand, one hundred eleven".