10100222211217 has 2 divisors, whose sum is σ = 10100222211218. Its totient is φ = 10100222211216.

The previous prime is 10100222211199. The next prime is 10100222211221. The reversal of 10100222211217 is 71211222200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9964432909201 + 135789302016 = 3156649^2 + 368496^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100222211217 - 2¹¹ = 10100222209169 is a prime.

It is a super-2 number, since 2×10100222211217² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10100222211257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050111105608 + 5050111105609.

It is an arithmetic number, because the mean of its divisors is an integer number (5050111105609).

Almost surely, 2^{10100222211217} is an apocalyptic number.

It is an amenable number.

10100222211217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100222211217 is an equidigital number, since it uses as much as digits as its factorization.

10100222211217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 10100222211217 its reverse (71211222200101), we get a palindrome (81311444411318).

The spelling of 10100222211217 in words is "ten trillion, one hundred billion, two hundred twenty-two million, two hundred eleven thousand, two hundred seventeen".