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1221010117 is a prime number
BaseRepresentation
bin100100011000111…
…0010001011000101
310011002112201222221
41020301302023011
510000034310432
6321054252341
742154262155
oct11061621305
93132481887
101221010117
11577256a78
122a0ab70b1
13165c6c5c2
14b823c765
15722dab97
hex48c722c5

1221010117 has 2 divisors, whose sum is σ = 1221010118. Its totient is φ = 1221010116.

The previous prime is 1221010111. The next prime is 1221010123. The reversal of 1221010117 is 7110101221.

It is a balanced prime because it is at equal distance from previous prime (1221010111) and next prime (1221010123).

It can be written as a sum of positive squares in only one way, i.e., 914094756 + 306915361 = 30234^2 + 17519^2 .

It is a cyclic number.

It is not a de Polignac number, because 1221010117 - 211 = 1221008069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1221010117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1221010111) 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, 610505058 + 610505059.

It is an arithmetic number, because the mean of its divisors is an integer number (610505059).

Almost surely, 21221010117 is an apocalyptic number.

It is an amenable number.

1221010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221010117 is an equidigital number, since it uses as much as digits as its factorization.

1221010117 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 1221010117 is about 34942.9551841283. The cubic root of 1221010117 is about 1068.8245504487.

Adding to 1221010117 its reverse (7110101221), we get a palindrome (8331111338).

The spelling of 1221010117 in words is "one billion, two hundred twenty-one million, ten thousand, one hundred seventeen".