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10201222102217 is a prime number
BaseRepresentation
bin1001010001110010100000…
…1110000011110011001001
31100010020010201010011101212
42110130220032003303021
52314114100324232332
633410213213022505
72102004536112446
oct224345016036311
940106121104355
1010201222102217
11328334aa27753
121189094784a35
1358cc8170a0b3
14273a556549cd
1512a55581b8b2
hex94728383cc9

10201222102217 has 2 divisors, whose sum is σ = 10201222102218. Its totient is φ = 10201222102216.

The previous prime is 10201222102187. The next prime is 10201222102219. The reversal of 10201222102217 is 71220122210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10185410548681 + 15811553536 = 3191459^2 + 125744^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201222102217 - 26 = 10201222102153 is a prime.

Together with 10201222102219, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10201222102192 and 10201222102201.

It is not a weakly prime, because it can be changed into another prime (10201222102219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100611051108 + 5100611051109.

It is an arithmetic number, because the mean of its divisors is an integer number (5100611051109).

Almost surely, 210201222102217 is an apocalyptic number.

It is an amenable number.

10201222102217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201222102217 is an equidigital number, since it uses as much as digits as its factorization.

10201222102217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 10201222102217 its reverse (71220122210201), we get a palindrome (81421344312418).

The spelling of 10201222102217 in words is "ten trillion, two hundred one billion, two hundred twenty-two million, one hundred two thousand, two hundred seventeen".