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10202210310101 is a prime number
BaseRepresentation
bin1001010001110110001100…
…0111110001011111010101
31100010022200120121022202212
42110131203013301133111
52314123111314410401
633410455233443205
72102041165541135
oct224354307613725
940108616538685
1010202210310101
113283807826987
12118930b710505
135900ab378aa4
14273b0a9b2ac5
1512a5b246ddbb
hex947631f17d5

10202210310101 has 2 divisors, whose sum is σ = 10202210310102. Its totient is φ = 10202210310100.

The previous prime is 10202210310001. The next prime is 10202210310211. The reversal of 10202210310101 is 10101301220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9090218970001 + 1111991340100 = 3014999^2 + 1054510^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10202210310101 is a prime.

It is a super-2 number, since 2×102022103101012 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10202210310001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101105155050 + 5101105155051.

It is an arithmetic number, because the mean of its divisors is an integer number (5101105155051).

Almost surely, 210202210310101 is an apocalyptic number.

It is an amenable number.

10202210310101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202210310101 is an equidigital number, since it uses as much as digits as its factorization.

10202210310101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10202210310101 its reverse (10101301220201), we get a palindrome (20303511530302).

The spelling of 10202210310101 in words is "ten trillion, two hundred two billion, two hundred ten million, three hundred ten thousand, one hundred one".