2211222101101 has 32 divisors (see below), whose sum is σ = 2504739373920. Its totient is φ = 1937721139200.

The previous prime is 2211222101089. The next prime is 2211222101111. The reversal of 2211222101101 is 1011012221122.

2211222101101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 626773056100 + 1584449045001 = 791690^2 + 1258749^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211222101101 - 2⁹ = 2211222100589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211222101111) 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, 67893861 + ... + 67926421.

It is an arithmetic number, because the mean of its divisors is an integer number (78273105435).

Almost surely, 2^{2211222101101} is an apocalyptic number.

It is an amenable number.

2211222101101 is a deficient number, since it is larger than the sum of its proper divisors (293517272819).

2211222101101 is a wasteful number, since it uses less digits than its factorization.

2211222101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35617.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2211222101101 its reverse (1011012221122), we get a palindrome (3222234322223).

The spelling of 2211222101101 in words is "two trillion, two hundred eleven billion, two hundred twenty-two million, one hundred one thousand, one hundred one".