11000222101121 has 16 divisors (see below), whose sum is σ = 12067889136576. Its totient is φ = 9943841880000.

The previous prime is 11000222101093. The next prime is 11000222101129. The reversal of 11000222101121 is 12110122200011.

It is a cyclic number.

It is not a de Polignac number, because 11000222101121 - 2³⁸ = 10725344194177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11000222101096 and 11000222101105.

It is not an unprimeable number, because it can be changed into a prime (11000222101129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17796311 + ... + 18404051.

It is an arithmetic number, because the mean of its divisors is an integer number (754243071036).

Almost surely, 2^{11000222101121} is an apocalyptic number.

11000222101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000222101121 is a deficient number, since it is larger than the sum of its proper divisors (1067667035455).

11000222101121 is a wasteful number, since it uses less digits than its factorization.

11000222101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617024.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11000222101121 its reverse (12110122200011), we get a palindrome (23110344301132).

The spelling of 11000222101121 in words is "eleven trillion, two hundred twenty-two million, one hundred one thousand, one hundred twenty-one".