11000100110001 has 32 divisors (see below), whose sum is σ = 15965367579648. Its totient is φ = 6708704808960.

The previous prime is 11000100109993. The next prime is 11000100110029. The reversal of 11000100110001 is 10001100100011.

It is not a de Polignac number, because 11000100110001 - 2³ = 11000100109993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11000100110101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1071160 + ... + 4811193.

It is an arithmetic number, because the mean of its divisors is an integer number (498917736864).

Almost surely, 2^{11000100110001} is an apocalyptic number.

It is an amenable number.

11000100110001 is a deficient number, since it is larger than the sum of its proper divisors (4965267469647).

11000100110001 is a wasteful number, since it uses less digits than its factorization.

11000100110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883401.

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

Adding to 11000100110001 its reverse (10001100100011), we get a palindrome (21001200210012).

It can be divided in two parts, 11000100 and 110001, that multiplied together give a square (1210022000100 = 1100010²).

The spelling of 11000100110001 in words is "eleven trillion, one hundred million, one hundred ten thousand, one".