11001000100101 has 32 divisors (see below), whose sum is σ = 16518214103040. Its totient is φ = 6451971561600.

The previous prime is 11001000100091. The next prime is 11001000100121. The reversal of 11001000100101 is 10100100010011.

It is not a de Polignac number, because 11001000100101 - 2¹⁰ = 11001000099077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11001000100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001000100121) 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, 31343086 + ... + 31692128.

It is an arithmetic number, because the mean of its divisors is an integer number (516194190720).

Almost surely, 2^{11001000100101} is an apocalyptic number.

11001000100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001000100101 is a deficient number, since it is larger than the sum of its proper divisors (5517214002939).

11001000100101 is a wasteful number, since it uses less digits than its factorization.

11001000100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379897.

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

Adding to 11001000100101 its reverse (10100100010011), we get a palindrome (21101100110112).

It can be divided in two parts, 1100100010010 and 1, that added together give a palindrome (1100100010011).

The spelling of 11001000100101 in words is "eleven trillion, one billion, one hundred thousand, one hundred one".