11001012111001 has 32 divisors (see below), whose sum is σ = 12357497811456. Its totient is φ = 9706559616000.

The previous prime is 11001012110983. The next prime is 11001012111077. The reversal of 11001012111001 is 10011121010011.

It is a cyclic number.

It is not a de Polignac number, because 11001012111001 - 2¹¹ = 11001012108953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11001012112001) 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, 82677141 + ... + 82810093.

It is an arithmetic number, because the mean of its divisors is an integer number (386171806608).

Almost surely, 2^{11001012111001} is an apocalyptic number.

11001012111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001012111001 is a deficient number, since it is larger than the sum of its proper divisors (1356485700455).

11001012111001 is a wasteful number, since it uses less digits than its factorization.

11001012111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133953.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11001012111001 its reverse (10011121010011), we get a palindrome (21012133121012).

It can be divided in two parts, 1100 and 1012111001, that added together give a palindrome (1012112101).

The spelling of 11001012111001 in words is "eleven trillion, one billion, twelve million, one hundred eleven thousand, one".