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2200001020001 is a prime number
BaseRepresentation
bin100000000000111010010…
…001111000000001100001
321210022120212001100122022
4200000322101320001201
5242021100230120001
64402355544551225
7314642035060601
oct40007221700141
97708525040568
102200001020001
11779019249364
122b645ba82515
1312c5c7b4c8a5
14786a2b58c01
153c3615a411b
hex2003a478061

2200001020001 has 2 divisors, whose sum is σ = 2200001020002. Its totient is φ = 2200001020000.

The previous prime is 2200001019977. The next prime is 2200001020037. The reversal of 2200001020001 is 1000201000022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2185811445601 + 14189574400 = 1478449^2 + 119120^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200001020001 - 234 = 2182821150817 is a prime.

It is not a weakly prime, because it can be changed into another prime (2200001020051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100000510000 + 1100000510001.

It is an arithmetic number, because the mean of its divisors is an integer number (1100000510001).

Almost surely, 22200001020001 is an apocalyptic number.

It is an amenable number.

2200001020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200001020001 is an equidigital number, since it uses as much as digits as its factorization.

2200001020001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2200001020001 its reverse (1000201000022), we get a palindrome (3200202020023).

The spelling of 2200001020001 in words is "two trillion, two hundred billion, one million, twenty thousand, one".