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12101022220117 is a prime number
BaseRepresentation
bin1011000000010111110100…
…1000010111111101010101
31120211211212001012121102111
42300011331020113331111
53041230343142020432
641423044410511021
72356161416505415
oct260057510277525
946754761177374
1012101022220117
113946018630016
121435313a35471
1369a176c192ac
142db99a6d2645
1515eb96c7a347
hexb017d217f55

12101022220117 has 2 divisors, whose sum is σ = 12101022220118. Its totient is φ = 12101022220116.

The previous prime is 12101022220081. The next prime is 12101022220153. The reversal of 12101022220117 is 71102222010121.

It is a balanced prime because it is at equal distance from previous prime (12101022220081) and next prime (12101022220153).

It can be written as a sum of positive squares in only one way, i.e., 7075381881681 + 5025640338436 = 2659959^2 + 2241794^2 .

It is a cyclic number.

It is not a de Polignac number, because 12101022220117 - 27 = 12101022219989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12101022221117) 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, 6050511110058 + 6050511110059.

It is an arithmetic number, because the mean of its divisors is an integer number (6050511110059).

Almost surely, 212101022220117 is an apocalyptic number.

It is an amenable number.

12101022220117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101022220117 is an equidigital number, since it uses as much as digits as its factorization.

12101022220117 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 12101022220117 its reverse (71102222010121), we get a palindrome (83203244230238).

The spelling of 12101022220117 in words is "twelve trillion, one hundred one billion, twenty-two million, two hundred twenty thousand, one hundred seventeen".