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210011012221217 is a prime number
BaseRepresentation
bin101111110000000011111111…
…110010000100100100100001
31000112120212010112022002222212
4233300003333302010210201
5210011310023112034332
62022353421020411505
762143536442215254
oct5760037762044441
91015525115262885
10210011012221217
1160a09196472139
121b67965b0a6b95
139024c51a3061c
1439c08314c509b
151942d05b878b2
hexbf00ffc84921

210011012221217 has 2 divisors, whose sum is σ = 210011012221218. Its totient is φ = 210011012221216.

The previous prime is 210011012221189. The next prime is 210011012221229. The reversal of 210011012221217 is 712122210110012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209485791693376 + 525220527841 = 14473624^2 + 724721^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210011012221217 is a prime.

It is a super-2 number, since 2×2100110122212172 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210011012221192 and 210011012221201.

It is not a weakly prime, because it can be changed into another prime (210011012251217) 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, 105005506110608 + 105005506110609.

It is an arithmetic number, because the mean of its divisors is an integer number (105005506110609).

Almost surely, 2210011012221217 is an apocalyptic number.

It is an amenable number.

210011012221217 is a deficient number, since it is larger than the sum of its proper divisors (1).

210011012221217 is an equidigital number, since it uses as much as digits as its factorization.

210011012221217 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 23.

Adding to 210011012221217 its reverse (712122210110012), we get a palindrome (922133222331229).

The spelling of 210011012221217 in words is "two hundred ten trillion, eleven billion, twelve million, two hundred twenty-one thousand, two hundred seventeen".