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1010110200257 is a prime number
BaseRepresentation
bin11101011001011110100…
…00100111100111000001
310120120021022112210221102
432230233100213213001
5113022201202402012
62052012131104145
7132656321015354
oct16545720474701
93516238483842
101010110200257
1135a426968aa4
12143923a42055
1374339a5b562
1436c6509429b
151b41e1412c2
hexeb2f4279c1

1010110200257 has 2 divisors, whose sum is σ = 1010110200258. Its totient is φ = 1010110200256.

The previous prime is 1010110200181. The next prime is 1010110200277. The reversal of 1010110200257 is 7520020110101.

It is a happy number.

It is an a-pointer prime, because the next prime (1010110200277) can be obtained adding 1010110200257 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 965249265841 + 44860934416 = 982471^2 + 211804^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1010110200257 is a prime.

It is a super-3 number, since 3×10101102002573 (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1010110200277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055100128 + 505055100129.

It is an arithmetic number, because the mean of its divisors is an integer number (505055100129).

Almost surely, 21010110200257 is an apocalyptic number.

It is an amenable number.

1010110200257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010110200257 is an equidigital number, since it uses as much as digits as its factorization.

1010110200257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 20.

Adding to 1010110200257 its reverse (7520020110101), we get a palindrome (8530130310358).

The spelling of 1010110200257 in words is "one trillion, ten billion, one hundred ten million, two hundred thousand, two hundred fifty-seven".