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101001010009901 is a prime number
BaseRepresentation
bin10110111101110000100001…
…010100101101011100101101
3111020121121021001020202212212
4112331300201110231130231
5101214300032030304101
6554451120133140205
730163040116632461
oct2675604124553455
9436547231222785
10101001010009901
112a2003190724a1
12b3b2809a8a665
13444847b744b81
141ad26914504a1
15ba2404a431bb
hex5bdc2152d72d

101001010009901 has 2 divisors, whose sum is σ = 101001010009902. Its totient is φ = 101001010009900.

The previous prime is 101001010009873. The next prime is 101001010009967. The reversal of 101001010009901 is 109900010100101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57471166788676 + 43529843221225 = 7580974^2 + 6597715^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001010009901 - 226 = 101000942901037 is a prime.

It is a super-4 number, since 4×1010010100099014 (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001010009001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500505004950 + 50500505004951.

It is an arithmetic number, because the mean of its divisors is an integer number (50500505004951).

Almost surely, 2101001010009901 is an apocalyptic number.

It is an amenable number.

101001010009901 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001010009901 is an equidigital number, since it uses as much as digits as its factorization.

101001010009901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 101001010009901 in words is "one hundred one trillion, one billion, ten million, nine thousand, nine hundred one".