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10110101011217 is a prime number
BaseRepresentation
bin1001001100011111000011…
…1110101011101100010001
31022210111221022201010112122
42103013300332223230101
52311120441324324332
633300303303504025
72062300504451144
oct223076076535421
938714838633478
1010110101011217
1132487404a6379
1211734a4458015
135844bc56127c
1426d48d8c805b
15127ec0d3ec12
hex931f0fabb11

10110101011217 has 2 divisors, whose sum is σ = 10110101011218. Its totient is φ = 10110101011216.

The previous prime is 10110101011187. The next prime is 10110101011223. The reversal of 10110101011217 is 71211010101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9662641693441 + 447459317776 = 3108479^2 + 668924^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110101011217 - 228 = 10109832575761 is a prime.

It is a super-2 number, since 2×101101010112172 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10110101011195 and 10110101011204.

It is not a weakly prime, because it can be changed into another prime (10110101011817) 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, 5055050505608 + 5055050505609.

It is an arithmetic number, because the mean of its divisors is an integer number (5055050505609).

Almost surely, 210110101011217 is an apocalyptic number.

It is an amenable number.

10110101011217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110101011217 is an equidigital number, since it uses as much as digits as its factorization.

10110101011217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 17.

Adding to 10110101011217 its reverse (71211010101101), we get a palindrome (81321111112318).

The spelling of 10110101011217 in words is "ten trillion, one hundred ten billion, one hundred one million, eleven thousand, two hundred seventeen".