2101122111217 has 2 divisors, whose sum is σ = 2101122111218. Its totient is φ = 2101122111216.

The previous prime is 2101122111199. The next prime is 2101122111227. The reversal of 2101122111217 is 7121112211012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1623697771536 + 477424339681 = 1274244^2 + 690959^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101122111217 - 2³⁹ = 1551366297329 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101122111227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050561055608 + 1050561055609.

It is an arithmetic number, because the mean of its divisors is an integer number (1050561055609).

Almost surely, 2^{2101122111217} is an apocalyptic number.

It is an amenable number.

2101122111217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101122111217 is an equidigital number, since it uses as much as digits as its factorization.

2101122111217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 2101122111217 its reverse (7121112211012), we get a palindrome (9222234322229).

The spelling of 2101122111217 in words is "two trillion, one hundred one billion, one hundred twenty-two million, one hundred eleven thousand, two hundred seventeen".