10011101011001 has 4 divisors (see below), whose sum is σ = 10011107844852. Its totient is φ = 10011094177152.

The previous prime is 10011101010931. The next prime is 10011101011057. The reversal of 10011101011001 is 10011010111001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 4454822316025 + 5556278694976 = 2110645^2 + 2357176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10011101011001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10011101011001.

It is not an unprimeable number, because it can be changed into a prime (10011101011081) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 226640 + ... + 4480353.

It is an arithmetic number, because the mean of its divisors is an integer number (2502776961213).

Almost surely, 2^{10011101011001} is an apocalyptic number.

It is an amenable number.

10011101011001 is a deficient number, since it is larger than the sum of its proper divisors (6833851).

10011101011001 is an equidigital number, since it uses as much as digits as its factorization.

10011101011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6833850.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10011101011001 its reverse (10011010111001), we get a palindrome (20022111122002).

The spelling of 10011101011001 in words is "ten trillion, eleven billion, one hundred one million, eleven thousand, one".