2101222111181 has 2 divisors, whose sum is σ = 2101222111182. Its totient is φ = 2101222111180.

The previous prime is 2101222111127. The next prime is 2101222111213. The reversal of 2101222111181 is 1811112221012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1088612609956 + 1012609501225 = 1043366^2 + 1006285^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101222111181 - 2¹⁸ = 2101221849037 is a prime.

It is a super-2 number, since 2×2101222111181² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101222111081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050611055590 + 1050611055591.

It is an arithmetic number, because the mean of its divisors is an integer number (1050611055591).

Almost surely, 2^{2101222111181} is an apocalyptic number.

It is an amenable number.

2101222111181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101222111181 is an equidigital number, since it uses as much as digits as its factorization.

2101222111181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 23.

Adding to 2101222111181 its reverse (1811112221012), we get a palindrome (3912334332193).

The spelling of 2101222111181 in words is "two trillion, one hundred one billion, two hundred twenty-two million, one hundred eleven thousand, one hundred eighty-one".