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101000120021 is a prime number
BaseRepresentation
bin101111000010000010…
…0111000011011010101
3100122200212112200222222
41132010010320123111
53123322012320041
6114222051032125
710203606566213
oct1360404703325
9318625480888
10101000120021
1139919a31079
12176a889b645
1396a7a8c438
144c61bddcb3
152961e4174b
hex17841386d5

101000120021 has 2 divisors, whose sum is σ = 101000120022. Its totient is φ = 101000120020.

The previous prime is 101000120003. The next prime is 101000120051. The reversal of 101000120021 is 120021000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64155317521 + 36844802500 = 253289^2 + 191950^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000120021 - 210 = 101000118997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000119990 and 101000120008.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000120051) 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, 50500060010 + 50500060011.

It is an arithmetic number, because the mean of its divisors is an integer number (50500060011).

Almost surely, 2101000120021 is an apocalyptic number.

It is an amenable number.

101000120021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000120021 is an equidigital number, since it uses as much as digits as its factorization.

101000120021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101000120021 its reverse (120021000101), we get a palindrome (221021120122).

The spelling of 101000120021 in words is "one hundred one billion, one hundred twenty thousand, twenty-one".