11011221112001 has 24 divisors (see below), whose sum is σ = 12060552241920. Its totient is φ = 9970092554400.

The previous prime is 11011221111889. The next prime is 11011221112013. The reversal of 11011221112001 is 10021112211011.

It is a de Polignac number, because none of the positive numbers 2^k-11011221112001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11011221115001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1312574315 + ... + 1312582703.

It is an arithmetic number, because the mean of its divisors is an integer number (502523010080).

Almost surely, 2^{11011221112001} is an apocalyptic number.

11011221112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11011221112001 is a deficient number, since it is larger than the sum of its proper divisors (1049331129919).

11011221112001 is an frugal number, since it uses more digits than its factorization.

11011221112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10085 (or 9738 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11011221112001 its reverse (10021112211011), we get a palindrome (21032333323012).

The spelling of 11011221112001 in words is "eleven trillion, eleven billion, two hundred twenty-one million, one hundred twelve thousand, one".