11100100100111 has 32 divisors (see below), whose sum is σ = 12401554833408. Its totient is φ = 9851175210240.

The previous prime is 11100100100107. The next prime is 11100100100123.

11100100100111 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11100100100111 - 2² = 11100100100107 is a prime.

11100100100111 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100100100101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22345211 + ... + 22836563.

It is an arithmetic number, because the mean of its divisors is an integer number (387548588544).

Almost surely, 2^{11100100100111} is an apocalyptic number.

11100100100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11100100100111 is a deficient number, since it is larger than the sum of its proper divisors (1301454733297).

11100100100111 is a wasteful number, since it uses less digits than its factorization.

11100100100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491751.

The product of its (nonzero) digits is 1, while the sum is 8.

It can be divided in two parts, 11100100 and 100111, that added together give a palindrome (11200211).

The spelling of 11100100100111 in words is "eleven trillion, one hundred billion, one hundred million, one hundred thousand, one hundred eleven".