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1010110200181 is a prime number
BaseRepresentation
bin11101011001011110100…
…00100111100101110101
310120120021022112210211121
432230233100213211311
5113022201202401211
62052012131103541
7132656321015215
oct16545720474565
93516238483747
101010110200181
1135a426968a35
12143923a41bb1
1374339a5b504
1436c65094245
151b41e141271
hexeb2f427975

1010110200181 has 2 divisors, whose sum is σ = 1010110200182. Its totient is φ = 1010110200180.

The previous prime is 1010110200137. The next prime is 1010110200257. The reversal of 1010110200181 is 1810020110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 623681370225 + 386428829956 = 789735^2 + 621634^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010110200181 - 29 = 1010110199669 is a prime.

It is a super-2 number, since 2×10101102001812 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010110206181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055100090 + 505055100091.

It is an arithmetic number, because the mean of its divisors is an integer number (505055100091).

Almost surely, 21010110200181 is an apocalyptic number.

It is an amenable number.

1010110200181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010110200181 is an equidigital number, since it uses as much as digits as its factorization.

1010110200181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 1010110200181 its reverse (1810020110101), we get a palindrome (2820130310282).

The spelling of 1010110200181 in words is "one trillion, ten billion, one hundred ten million, two hundred thousand, one hundred eighty-one".