2111100221017 has 2 divisors, whose sum is σ = 2111100221018. Its totient is φ = 2111100221016.

The previous prime is 2111100220987. The next prime is 2111100221039. The reversal of 2111100221017 is 7101220011112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1661531312016 + 449568909001 = 1289004^2 + 670499^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111100221017 - 2¹⁹ = 2111099696729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2111100220985 and 2111100221003.

It is not a weakly prime, because it can be changed into another prime (2111100221077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055550110508 + 1055550110509.

It is an arithmetic number, because the mean of its divisors is an integer number (1055550110509).

Almost surely, 2^{2111100221017} is an apocalyptic number.

It is an amenable number.

2111100221017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111100221017 is an equidigital number, since it uses as much as digits as its factorization.

2111100221017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 2111100221017 its reverse (7101220011112), we get a palindrome (9212320232129).

The spelling of 2111100221017 in words is "two trillion, one hundred eleven billion, one hundred million, two hundred twenty-one thousand, seventeen".