11001000011001 has 192 divisors, whose sum is σ = 20893276293120. Its totient is φ = 4971573780480.

The previous prime is 11001000010993. The next prime is 11001000011009. The reversal of 11001000011001 is 10011000010011.

It is an interprime number because it is at equal distance from previous prime (11001000010993) and next prime (11001000011009).

It is not a de Polignac number, because 11001000011001 - 2³ = 11001000010993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11001000011009) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 209201730 + ... + 209254308.

It is an arithmetic number, because the mean of its divisors is an integer number (108819147360).

Almost surely, 2^{11001000011001} is an apocalyptic number.

11001000011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001000011001 is a deficient number, since it is larger than the sum of its proper divisors (9892276282119).

11001000011001 is a wasteful number, since it uses less digits than its factorization.

11001000011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52844 (or 52825 counting only the distinct ones).

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

Adding to 11001000011001 its reverse (10011000010011), we get a palindrome (21012000021012).

It can be divided in two parts, 110010000 and 11001, that multiplied together give a square (1210220010000 = 1100100²).

The spelling of 11001000011001 in words is "eleven trillion, one billion, eleven thousand, one".