2210100221117 has 2 divisors, whose sum is σ = 2210100221118. Its totient is φ = 2210100221116.

The previous prime is 2210100221047. The next prime is 2210100221129. The reversal of 2210100221117 is 7111220010122.

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., 2054260026361 + 155840194756 = 1433269^2 + 394766^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210100221117 - 2⁴⁰ = 1110588593341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210100221317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105050110558 + 1105050110559.

It is an arithmetic number, because the mean of its divisors is an integer number (1105050110559).

Almost surely, 2^{2210100221117} is an apocalyptic number.

It is an amenable number.

2210100221117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210100221117 is an equidigital number, since it uses as much as digits as its factorization.

2210100221117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 2210100221117 its reverse (7111220010122), we get a palindrome (9321320231239).

The spelling of 2210100221117 in words is "two trillion, two hundred ten billion, one hundred million, two hundred twenty-one thousand, one hundred seventeen".