1101011000001 has 32 divisors (see below), whose sum is σ = 1667760537600. Its totient is φ = 640039545600.

The previous prime is 1101010999999. The next prime is 1101011000027. The reversal of 1101011000001 is 1000001101011.

It is not a de Polignac number, because 1101011000001 - 2¹ = 1101010999999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1101011000081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4646601 + ... + 4877798.

It is an arithmetic number, because the mean of its divisors is an integer number (52117516800).

Almost surely, 2^{1101011000001} is an apocalyptic number.

1101011000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101011000001 is a deficient number, since it is larger than the sum of its proper divisors (566749537599).

1101011000001 is a wasteful number, since it uses less digits than its factorization.

1101011000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9524557.

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

Adding to 1101011000001 its reverse (1000001101011), we get a palindrome (2101012101012).

It can be divided in two parts, 11010 and 11000001, that added together give a palindrome (11011011).

The spelling of 1101011000001 in words is "one trillion, one hundred one billion, eleven million, one", and thus it is an aban number.