2211101222111 has 16 divisors (see below), whose sum is σ = 2223559641600. Its totient is φ = 2198687077728.

The previous prime is 2211101222087. The next prime is 2211101222129. The reversal of 2211101222111 is 1112221011122.

It is a cyclic number.

It is not a de Polignac number, because 2211101222111 - 2⁶ = 2211101222047 is a prime.

It is a super-3 number, since 3×2211101222111³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 2211101222111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211101222711) 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 15 ways as a sum of consecutive naturals, for example, 192548576 + ... + 192560058.

It is an arithmetic number, because the mean of its divisors is an integer number (138972477600).

Almost surely, 2^{2211101222111} is an apocalyptic number.

2211101222111 is a deficient number, since it is larger than the sum of its proper divisors (12458419489).

2211101222111 is a wasteful number, since it uses less digits than its factorization.

2211101222111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13318.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2211101222111 its reverse (1112221011122), we get a palindrome (3323322233233).

The spelling of 2211101222111 in words is "two trillion, two hundred eleven billion, one hundred one million, two hundred twenty-two thousand, one hundred eleven".