11000000100111 has 16 divisors (see below), whose sum is σ = 16432432583808. Its totient is φ = 6486486544800.

The previous prime is 11000000100101. The next prime is 11000000100119. The reversal of 11000000100111 is 11100100000011.

It is not a de Polignac number, because 11000000100111 - 2¹³ = 11000000091919 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11000000100111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000000100119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4504503325 + ... + 4504505766.

It is an arithmetic number, because the mean of its divisors is an integer number (1027027036488).

Almost surely, 2^{11000000100111} is an apocalyptic number.

11000000100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000000100111 is a deficient number, since it is larger than the sum of its proper divisors (5432432483697).

11000000100111 is a wasteful number, since it uses less digits than its factorization.

11000000100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9009009142.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11000000100111 its reverse (11100100000011), we get a palindrome (22100100100122).

It can be divided in two parts, 11000000 and 100111, that added together give a palindrome (11100111).

The spelling of 11000000100111 in words is "eleven trillion, one hundred thousand, one hundred eleven".