2211201122101 has 2 divisors, whose sum is σ = 2211201122102. Its totient is φ = 2211201122100.

The previous prime is 2211201122071. The next prime is 2211201122111. The reversal of 2211201122101 is 1012211021122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1686489225201 + 524711896900 = 1298649^2 + 724370^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211201122101 - 2⁵ = 2211201122069 is a prime.

It is a super-3 number, since 3×2211201122101³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2211201122111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105600561050 + 1105600561051.

It is an arithmetic number, because the mean of its divisors is an integer number (1105600561051).

Almost surely, 2^{2211201122101} is an apocalyptic number.

It is an amenable number.

2211201122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211201122101 is an equidigital number, since it uses as much as digits as its factorization.

2211201122101 is an evil number, because the sum of its binary digits is even.

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

Adding to 2211201122101 its reverse (1012211021122), we get a palindrome (3223412143223).

The spelling of 2211201122101 in words is "two trillion, two hundred eleven billion, two hundred one million, one hundred twenty-two thousand, one hundred one".