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101112217 is a prime number
BaseRepresentation
bin1100000011011…
…01100110011001
321001021000212221
412001231212121
5201341042332
614011104041
72335303543
oct601554631
9231230787
10101112217
1152091118
1229a42021
1317c42b1b
14d600693
158d24297
hex606d999

101112217 has 2 divisors, whose sum is σ = 101112218. Its totient is φ = 101112216.

The previous prime is 101112203. The next prime is 101112229. The reversal of 101112217 is 712211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66113161 + 34999056 = 8131^2 + 5916^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101112217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101112217.

It is not a weakly prime, because it can be changed into another prime (101112247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556108 + 50556109.

It is an arithmetic number, because the mean of its divisors is an integer number (50556109).

Almost surely, 2101112217 is an apocalyptic number.

It is an amenable number.

101112217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112217 is an equidigital number, since it uses as much as digits as its factorization.

101112217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 16.

The square root of 101112217 is about 10055.4570756381. The cubic root of 101112217 is about 465.8733607508.

Adding to 101112217 its reverse (712211101), we get a palindrome (813323318).

The spelling of 101112217 in words is "one hundred one million, one hundred twelve thousand, two hundred seventeen".