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101220010117 is a prime number
BaseRepresentation
bin101111001000100101…
…1101100100010000101
3100200021012022021111121
41132101023230202011
53124244310310432
6114255544033541
710212216614212
oct1362113544205
9320235267447
10101220010117
1139a22069826
121774a4628b1
1397114bbb15
144c830bcb09
1529763c9197
hex17912ec885

101220010117 has 2 divisors, whose sum is σ = 101220010118. Its totient is φ = 101220010116.

The previous prime is 101220010103. The next prime is 101220010141. The reversal of 101220010117 is 711010022101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96665649921 + 4554360196 = 310911^2 + 67486^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101220010117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101220010117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101220710117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610005058 + 50610005059.

It is an arithmetic number, because the mean of its divisors is an integer number (50610005059).

Almost surely, 2101220010117 is an apocalyptic number.

It is an amenable number.

101220010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101220010117 is an equidigital number, since it uses as much as digits as its factorization.

101220010117 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.

Adding to 101220010117 its reverse (711010022101), we get a palindrome (812230032218).

The spelling of 101220010117 in words is "one hundred one billion, two hundred twenty million, ten thousand, one hundred seventeen".