11001012001001 has 32 divisors (see below), whose sum is σ = 12512543634432. Its totient is φ = 9581220000000.

The previous prime is 11001012000967. The next prime is 11001012001003. The reversal of 11001012001001 is 10010021010011.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-11001012001001 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 11001012001001.

It is not an unprimeable number, because it can be changed into a prime (11001012001003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340984211 + ... + 341016471.

It is an arithmetic number, because the mean of its divisors is an integer number (391016988576).

Almost surely, 2^{11001012001001} is an apocalyptic number.

11001012001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001012001001 is a deficient number, since it is larger than the sum of its proper divisors (1511531633431).

11001012001001 is a wasteful number, since it uses less digits than its factorization.

11001012001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42305.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11001012001001 its reverse (10010021010011), we get a palindrome (21011033011012).

It can be divided in two parts, 1100 and 1012001001, that added together give a palindrome (1012002101).

The spelling of 11001012001001 in words is "eleven trillion, one billion, twelve million, one thousand, one".