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210201000222001 is a prime number
BaseRepresentation
bin101111110010110100111011…
…111100110001110100110001
31000120021000112010020112112111
4233302310323330301310301
5210022413122024101001
62023021001214525321
762163343511453215
oct5762647374616461
91016230463215474
10210201000222001
1160a8181a773118
121b6aa441806841
139039b3ba207b9
1439c9ad59dc945
151947c2517d851
hexbf2d3bf31d31

210201000222001 has 2 divisors, whose sum is σ = 210201000222002. Its totient is φ = 210201000222000.

The previous prime is 210201000221917. The next prime is 210201000222071. The reversal of 210201000222001 is 100222000102012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202063239861025 + 8137760360976 = 14214895^2 + 2852676^2 .

It is a cyclic number.

It is not a de Polignac number, because 210201000222001 - 29 = 210201000221489 is a prime.

It is not a weakly prime, because it can be changed into another prime (210201000222071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105100500111000 + 105100500111001.

It is an arithmetic number, because the mean of its divisors is an integer number (105100500111001).

Almost surely, 2210201000222001 is an apocalyptic number.

It is an amenable number.

210201000222001 is a deficient number, since it is larger than the sum of its proper divisors (1).

210201000222001 is an equidigital number, since it uses as much as digits as its factorization.

210201000222001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 210201000222001 its reverse (100222000102012), we get a palindrome (310423000324013).

The spelling of 210201000222001 in words is "two hundred ten trillion, two hundred one billion, two hundred twenty-two thousand, one".