11110001101001 has 8 divisors (see below), whose sum is σ = 12240001214208. Its totient is φ = 10000000990000.

The previous prime is 11110001100983. The next prime is 11110001101009. The reversal of 11110001101001 is 10010110001111.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11110001101001 - 2¹⁴ = 11110001084617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11110001101001.

It is not an unprimeable number, because it can be changed into a prime (11110001101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4999999385 + ... + 5000001606.

It is an arithmetic number, because the mean of its divisors is an integer number (1530000151776).

Almost surely, 2^{11110001101001} is an apocalyptic number.

11110001101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11110001101001 is a deficient number, since it is larger than the sum of its proper divisors (1130000113207).

11110001101001 is a wasteful number, since it uses less digits than its factorization.

11110001101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10000001103.

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

Adding to 11110001101001 its reverse (10010110001111), we get a palindrome (21120111102112).

It can be divided in two parts, 1111000110 and 1001, that added together give a palindrome (1111001111).

The spelling of 11110001101001 in words is "eleven trillion, one hundred ten billion, one million, one hundred one thousand, one".