101121220002217 has 2 divisors, whose sum is σ = 101121220002218. Its totient is φ = 101121220002216.

The previous prime is 101121220002199. The next prime is 101121220002223. The reversal of 101121220002217 is 712200022121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60660794558016 + 40460425444201 = 7788504^2 + 6360851^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121220002217 - 2¹⁵ = 101121219969449 is a prime.

It is a super-2 number, since 2×101121220002217² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101121220002277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560610001108 + 50560610001109.

It is an arithmetic number, because the mean of its divisors is an integer number (50560610001109).

Almost surely, 2^{101121220002217} is an apocalyptic number.

It is an amenable number.

101121220002217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121220002217 is an equidigital number, since it uses as much as digits as its factorization.

101121220002217 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101121220002217 its reverse (712200022121101), we get a palindrome (813321242123318).

The spelling of 101121220002217 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty million, two thousand, two hundred seventeen".