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10001210010101 is a prime number
BaseRepresentation
bin1001000110001001011010…
…0100011110100111110101
31022102002212112002010122022
42101202112210132213311
52302324434230310401
633134254211442525
72051364210303452
oct221422644364765
938362775063568
1010001210010101
113206542357572
121156374bb6445
13577157a4602b
142680bdb06829
1512524b2a971b
hex9189691e9f5

10001210010101 has 2 divisors, whose sum is σ = 10001210010102. Its totient is φ = 10001210010100.

The previous prime is 10001210010083. The next prime is 10001210010167. The reversal of 10001210010101 is 10101001210001.

It is a happy number.

10001210010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7462589187076 + 2538620823025 = 2731774^2 + 1593305^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001210010101 - 26 = 10001210010037 is a prime.

It is a super-2 number, since 2×100012100101012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001210016101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000605005050 + 5000605005051.

It is an arithmetic number, because the mean of its divisors is an integer number (5000605005051).

Almost surely, 210001210010101 is an apocalyptic number.

It is an amenable number.

10001210010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001210010101 is an equidigital number, since it uses as much as digits as its factorization.

10001210010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10001210010101 its reverse (10101001210001), we get a palindrome (20102211220102).

The spelling of 10001210010101 in words is "ten trillion, one billion, two hundred ten million, ten thousand, one hundred one".