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101010010222109 is a prime number
BaseRepresentation
bin10110111101111000111001…
…110001110010111000011101
3111020122110111021201220222202
4112331320321301302320131
5101214422000104101414
6554455205203021245
730163506134316302
oct2675707161627035
9436573437656882
10101010010222109
112a2041174990aa
12b3b450006a825
13444928426a921
141ad2ca68bd0a9
15ba277ec629de
hex5bde39c72e1d

101010010222109 has 2 divisors, whose sum is σ = 101010010222110. Its totient is φ = 101010010222108.

The previous prime is 101010010222091. The next prime is 101010010222321. The reversal of 101010010222109 is 901222010010101.

Together with previous prime (101010010222091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89550072348100 + 11459937874009 = 9463090^2 + 3385253^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010010222109 - 220 = 101010009173533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010010222409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505005111054 + 50505005111055.

It is an arithmetic number, because the mean of its divisors is an integer number (50505005111055).

Almost surely, 2101010010222109 is an apocalyptic number.

It is an amenable number.

101010010222109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010010222109 is an equidigital number, since it uses as much as digits as its factorization.

101010010222109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 101010010222109 in words is "one hundred one trillion, ten billion, ten million, two hundred twenty-two thousand, one hundred nine".