1021101221117 has 2 divisors, whose sum is σ = 1021101221118. Its totient is φ = 1021101221116.

The previous prime is 1021101221083. The next prime is 1021101221123. The reversal of 1021101221117 is 7111221011201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1019667765796 + 1433455321 = 1009786^2 + 37861^2 .

It is an emirp because it is prime and its reverse (7111221011201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1021101221117 - 2²⁴ = 1021084443901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021101221177) 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, 510550610558 + 510550610559.

It is an arithmetic number, because the mean of its divisors is an integer number (510550610559).

Almost surely, 2^{1021101221117} is an apocalyptic number.

It is an amenable number.

1021101221117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021101221117 is an equidigital number, since it uses as much as digits as its factorization.

1021101221117 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 20.

Adding to 1021101221117 its reverse (7111221011201), we get a palindrome (8132322232318).

The spelling of 1021101221117 in words is "one trillion, twenty-one billion, one hundred one million, two hundred twenty-one thousand, one hundred seventeen".