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1012122221009 is a prime number
BaseRepresentation
bin11101011101001110010…
…11110111100111010001
310120202110112112001112112
432232213023313213101
5113040311242033014
62052543523435105
7133060221634154
oct16564713674721
93522415461475
101012122221009
11360269675a69
121441a5825a95
137459a854193
1436db639bc9b
151b4daaca73e
hexeba72f79d1

1012122221009 has 2 divisors, whose sum is σ = 1012122221010. Its totient is φ = 1012122221008.

The previous prime is 1012122220973. The next prime is 1012122221081. The reversal of 1012122221009 is 9001222212101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 864937200400 + 147185020609 = 930020^2 + 383647^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1012122221009 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012122121009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506061110504 + 506061110505.

It is an arithmetic number, because the mean of its divisors is an integer number (506061110505).

Almost surely, 21012122221009 is an apocalyptic number.

It is an amenable number.

1012122221009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012122221009 is an equidigital number, since it uses as much as digits as its factorization.

1012122221009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 1012122221009 in words is "one trillion, twelve billion, one hundred twenty-two million, two hundred twenty-one thousand, nine".