2211120101 has 2 divisors, whose sum is σ = 2211120102. Its totient is φ = 2211120100.

The previous prime is 2211120089. The next prime is 2211120103. The reversal of 2211120101 is 1010211122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1117230625 + 1093889476 = 33425^2 + 33074^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211120101 - 2¹⁴ = 2211103717 is a prime.

Together with 2211120103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2211120103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105560050 + 1105560051.

It is an arithmetic number, because the mean of its divisors is an integer number (1105560051).

Almost surely, 2^2211120101 is an apocalyptic number.

It is an amenable number.

2211120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211120101 is an equidigital number, since it uses as much as digits as its factorization.

2211120101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2211120101 is about 47022.5488569048. The cubic root of 2211120101 is about 1302.7790845412.

Adding to 2211120101 its reverse (1010211122), we get a palindrome (3221331223).

The spelling of 2211120101 in words is "two billion, two hundred eleven million, one hundred twenty thousand, one hundred one".