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202110121217 is a prime number
BaseRepresentation
bin1011110000111010110…
…0111011010100000001
3201022200101211221122002
42330032230323110001
511302410142334332
6232503105153345
720413322453624
oct2741654732401
9638611757562
10202110121217
1178794992534
123320632b855
131609c541b04
149ad4443dbb
1553cd83a562
hex2f0eb3b501

202110121217 has 2 divisors, whose sum is σ = 202110121218. Its totient is φ = 202110121216.

The previous prime is 202110121141. The next prime is 202110121223. The reversal of 202110121217 is 712121011202.

It is a happy number.

202110121217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200868897856 + 1241223361 = 448184^2 + 35231^2 .

It is a cyclic number.

It is not a de Polignac number, because 202110121217 - 218 = 202109859073 is a prime.

It is a super-2 number, since 2×2021101212172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (202110121267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101055060608 + 101055060609.

It is an arithmetic number, because the mean of its divisors is an integer number (101055060609).

Almost surely, 2202110121217 is an apocalyptic number.

It is an amenable number.

202110121217 is a deficient number, since it is larger than the sum of its proper divisors (1).

202110121217 is an equidigital number, since it uses as much as digits as its factorization.

202110121217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 202110121217 its reverse (712121011202), we get a palindrome (914231132419).

The spelling of 202110121217 in words is "two hundred two billion, one hundred ten million, one hundred twenty-one thousand, two hundred seventeen".