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101010010109 is a prime number
BaseRepresentation
bin101111000010010101…
…0100110111111111101
3100122201120011011122112
41132010222212333331
53123332030310414
6114223043023405
710204056630251
oct1360452467775
9318646134575
10101010010109
11399245766a8
12176b006ab65
1396a9b42c68
144c63256261
152962c46d3e
hex1784aa6ffd

101010010109 has 2 divisors, whose sum is σ = 101010010110. Its totient is φ = 101010010108.

The previous prime is 101010010093. The next prime is 101010010159. The reversal of 101010010109 is 901010010101.

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., 59221656025 + 41788354084 = 243355^2 + 204422^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010010109 - 24 = 101010010093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101010010093 and 101010010102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010010159) 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, 50505005054 + 50505005055.

It is an arithmetic number, because the mean of its divisors is an integer number (50505005055).

Almost surely, 2101010010109 is an apocalyptic number.

It is an amenable number.

101010010109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010010109 is an equidigital number, since it uses as much as digits as its factorization.

101010010109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 101010010109 in words is "one hundred one billion, ten million, ten thousand, one hundred nine".