2211122101 has 2 divisors, whose sum is σ = 2211122102. Its totient is φ = 2211122100.

The previous prime is 2211122099. The next prime is 2211122113. The reversal of 2211122101 is 1012211122.

2211122101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2197171876 + 13950225 = 46874^2 + 3735^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211122101 - 2¹ = 2211122099 is a prime.

Together with 2211122099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2211122161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105561050 + 1105561051.

It is an arithmetic number, because the mean of its divisors is an integer number (1105561051).

Almost surely, 2^2211122101 is an apocalyptic number.

It is an amenable number.

2211122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211122101 is an equidigital number, since it uses as much as digits as its factorization.

2211122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 2211122101 is about 47022.5701232929. The cubic root of 2211122101 is about 1302.7794773372.

Adding to 2211122101 its reverse (1012211122), we get a palindrome (3223333223).

It can be divided in two parts, 2211122 and 101, that multiplied together give a palindrome (223323322).

The spelling of 2211122101 in words is "two billion, two hundred eleven million, one hundred twenty-two thousand, one hundred one".