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2210000100097 is a prime number
BaseRepresentation
bin100000001010001110010…
…001010101101100000001
321211021101201002020220011
4200022032101111230001
5242202040011200342
64411132055544521
7315444601621606
oct40121621255401
97737351066804
102210000100097
1178228a495219
122b839068b141
1313052c5a742a
1478d70b1c6ad
153c74932e717
hex2028e455b01

2210000100097 has 2 divisors, whose sum is σ = 2210000100098. Its totient is φ = 2210000100096.

The previous prime is 2210000100067. The next prime is 2210000100103. The reversal of 2210000100097 is 7900010000122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1231214379201 + 978785720896 = 1109601^2 + 989336^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210000100097 - 27 = 2210000099969 is a prime.

It is a super-4 number, since 4×22100001000974 (a number of 50 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (2210000100037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105000050048 + 1105000050049.

It is an arithmetic number, because the mean of its divisors is an integer number (1105000050049).

Almost surely, 22210000100097 is an apocalyptic number.

It is an amenable number.

2210000100097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210000100097 is an equidigital number, since it uses as much as digits as its factorization.

2210000100097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 22.

The spelling of 2210000100097 in words is "two trillion, two hundred ten billion, one hundred thousand, ninety-seven".