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21010100101 is a prime number
BaseRepresentation
bin10011100100010011…
…001010111110000101
32000020020012200002121
4103210103022332011
5321012041200401
613352451205541
71342435622104
oct234423127605
960206180077
1021010100101
118a017211a1
1240a42a68b1
131c9aa400c3
14103450203b
1582e794ca1
hex4e44caf85

21010100101 has 2 divisors, whose sum is σ = 21010100102. Its totient is φ = 21010100100.

The previous prime is 21010100087. The next prime is 21010100179. The reversal of 21010100101 is 10100101012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11615450625 + 9394649476 = 107775^2 + 96926^2 .

It is a cyclic number.

It is not a de Polignac number, because 21010100101 - 29 = 21010099589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21010100201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10505050050 + 10505050051.

It is an arithmetic number, because the mean of its divisors is an integer number (10505050051).

Almost surely, 221010100101 is an apocalyptic number.

It is an amenable number.

21010100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

21010100101 is an equidigital number, since it uses as much as digits as its factorization.

21010100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 21010100101 its reverse (10100101012), we get a palindrome (31110201113).

The spelling of 21010100101 in words is "twenty-one billion, ten million, one hundred thousand, one hundred one".