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201002222220257 is a prime number
BaseRepresentation
bin101101101100111101111010…
…000011011111001111100001
3222100200121212110112222011102
4231230331322003133033201
5202321210022342022012
61551255051321524145
760223634305530023
oct5554757203371741
9870617773488142
10201002222220257
1159055622365207
121a6636b1643655
138820574a68c43
14378c7b9250013
1518387e09612c2
hexb6cf7a0df3e1

201002222220257 has 2 divisors, whose sum is σ = 201002222220258. Its totient is φ = 201002222220256.

The previous prime is 201002222220187. The next prime is 201002222220259. The reversal of 201002222220257 is 752022222200102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 191120007547456 + 9882214672801 = 13824616^2 + 3143599^2 .

It is a cyclic number.

It is not a de Polignac number, because 201002222220257 - 28 = 201002222220001 is a prime.

It is a super-2 number, since 2×2010022222202572 (a number of 29 digits) contains 22 as substring.

Together with 201002222220259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (201002222220259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100501111110128 + 100501111110129.

It is an arithmetic number, because the mean of its divisors is an integer number (100501111110129).

Almost surely, 2201002222220257 is an apocalyptic number.

It is an amenable number.

201002222220257 is a deficient number, since it is larger than the sum of its proper divisors (1).

201002222220257 is an equidigital number, since it uses as much as digits as its factorization.

201002222220257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8960, while the sum is 29.

Adding to 201002222220257 its reverse (752022222200102), we get a palindrome (953024444420359).

The spelling of 201002222220257 in words is "two hundred one trillion, two billion, two hundred twenty-two million, two hundred twenty thousand, two hundred fifty-seven".